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ESSENTIAL NORMS OF PRODUCTS OF WEIGHTED COMPOSITION OPERATORS AND DIFFERENTIATION OPERATORS BETWEEN BANACH SPACES OF ANALYTIC FUNCTIONS 认领 引用 被引量：5
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作者 Jasbir Singh MANHAS Ruhan ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2015年第6期1401-1410,共10页
We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applic... We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the es- sential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces. 展开更多
关键词 differentiation operators weighted composition operators weighted Banachspace of analytic functions Bloch-type spaces essential norms
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PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES 认领 引用 被引量：4
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作者 Jasbir Singh MANHAS Ruhan ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1105-1120,共16页
We characterize boundedness and compactness of products of differentiation op- erators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bl... We characterize boundedness and compactness of products of differentiation op- erators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights. 展开更多
关键词 differentiation operators weighted composition operators weighted Banachspace of analytic functions Bloch-type spaces
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ERRATUM TO:LOG-CONCAVITY OF THE FIRST DIRICHLET EIGENFUNCTION OF SOME ELLIPTIC DIFFERENTIAL OPERATORS AND CONVEXITY INEQUALITIES FOR THE RELEVANT EIGENVALUE 认领 引用
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作者 Andrea COLESANTI 《Acta Mathematica Scientia》 SCIE CSCD 2026年第2期1036-1036,共1页
This note contains some corrections to the paper:Colesanti A.Log-concavity of the first Dirichlet eigenfunction of some elliptic differential operators and convexity inequalities for the relevant eigenvalue.Acta Mathe... This note contains some corrections to the paper:Colesanti A.Log-concavity of the first Dirichlet eigenfunction of some elliptic differential operators and convexity inequalities for the relevant eigenvalue.Acta Mathematica Scientia,2025,45B(1):143-152. 展开更多
关键词 log concavity dirichlet eigenfunction elliptic differential operators convexity inequalities
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Weighted Composition Followed and Proceeded by Differentiation Operators from Q_k(p,q) Space to Weighted α-Bloch Space 认领 引用
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作者 Jian Ren LONG Peng Cheng WU 《Journal of Mathematical Research and Exposition》 CSCD 2011年第6期1097-1107,共11页
We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k（p,q）space to weighted α-Bloch space and little weighted α-Bloch space.Some necessar... We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k（p,q）space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. 展开更多
关键词 Q_k（p q）space weighted α-Bloch space weighted composition operators differentiation operators boundedness compactness.
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The Characterization of Self-adjoint Domains of Two-interval Odd Order Differential Operators 认领 引用
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作者 WANG Linyu HAO Xiaoling LI Kun 《数学进展》 CSCD 北大核心 2025年第4期784-802,共19页
In this paper,we give a complete characterization of all self-adjoint domains of odd order differential operators on two intervals.These two intervals with all four endpoints are singular(one endpoint of each interval... In this paper,we give a complete characterization of all self-adjoint domains of odd order differential operators on two intervals.These two intervals with all four endpoints are singular(one endpoint of each interval is singular or all four endpoints are regulars are the special cases).And these extensions yield"new"self-adjoint operators,which involve interactions between the two intervals. 展开更多
关键词 self-adjoint domain odd order differential operator two-interval
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Products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball 认领 引用
6
作者 ZHANG Chao QIN Yuehai 《中山大学学报（自然科学版）（中英文）》 CAS CSCD 北大核心 2025年第2期160-169,共10页
The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic fu... The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic functions in the unit ball by radial derivative.Then we extend the Sharma's results. 展开更多
关键词 composition operator multiplication operator differentiation operator weighted Bergman space
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MHD Maxwell Fluid with Heat Transfer Analysis under Ramp Velocity and Ramp Temperature Subject to Non-Integer Differentiable Operators 认领 引用 被引量：3
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作者 Thabet Abdeljawad Muhammad Bilal Riaz +1 位作者 Syed Tauseef Saeed Nazish Iftikhar 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第2期821-841,共21页
The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic(MHD)time-dependent Maxwell fluid over an unbounded plate embedded ... The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic(MHD)time-dependent Maxwell fluid over an unbounded plate embedded in a permeable medium.Non-dimensional parameters along with Laplace transformation and inversion algorithms are used to find the solution of shear stress,energy,and velocity profile.Recently,new fractional differential operators are used to define ramped temperature and ramped velocity.The obtained analytical solutions are plotted for different values of emerging parameters.Fractional time derivatives are used to analyze the impact of fractional parameters(memory effect)on the dynamics of the fluid.While making a comparison,it is observed that the fractional-order model is best to explain the memory effect as compared to classical models.Our results suggest that the velocity profile decrease by increasing the effective Prandtl number.The existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.The incremental value of the M is observed for a decrease in the velocity field,which reflects to control resistive force.Further,it is noted that the Atangana-Baleanu derivative in Caputo sense(ABC)is the best to highlight the dynamics of the fluid.The influence of pertinent parameters is analyzed graphically for velocity and energy profile.Expressions for skin friction and Nusselt number are also derived for fractional differential operators. 展开更多
关键词 MHD Maxwell fluid fractional differential operator heat generation absorption thermal effect non-singular kernels
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SANDWICH-TYPE RESULTS FOR A CLASS OF CONVEX INTEGRAL OPERATORS 认领 引用 被引量：1
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作者 Teodor Bulboaca 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期989-1001,共13页
Let H(U)be the space of analytic functions in the unit disk U.For the integral operator Aφ,α,β,γ:K→H(U),with KH(U),defined by Aφ,α,β,γ[f](z)=[β+γ/zγφ(z)z0fα(t)(t)tδ-1dt]1/β,whereα,β,γ,δ∈C an... Let H(U)be the space of analytic functions in the unit disk U.For the integral operator Aφ,α,β,γ:K→H(U),with KH(U),defined by Aφ,α,β,γ[f](z)=[β+γ/zγφ(z)z0fα(t)(t)tδ-1dt]1/β,whereα,β,γ,δ∈C andφ,∈H(U),we will determine sufficient conditions on g1,g2,α,βandγ,such that zφ(z)g1(z)zαz(z)f(z)zαz(z)g2(z)zαimplies zφ(z)[Aφφ,α,β,γ[g1](z)/z]β<zφ(z)[Aφφ,α,β,γ[f](z)/z]β<zφ(z)[Aφ,α,β,γ[g2](z)/z]β.The symbol"<"stands for subordination,and we call such a kind of result a sandwich-type theorem.In addition,zφ(z)[Aφ,α,β,γ[g1](z)/z]βis the largest function and zφ(z)[Aφ,α,β,γ[g2](z)/z]βthe smallest function so that the left-hand side,respectively the right-hand side of the above implications hold,for all f functions satisfying the assumption.We give a particular case of the main result obtained for appropriate choices of functionsφand,that also generalizes classic results of the theory of differential subordination and superordination. 展开更多
关键词 Analytic function starlike and convex function differential operator differential subordination
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LEIBNIZ′FORMULA OF GENERALIZED DIFFERENCE WITH RESPECT TO A CLASS OF DIFFERENTIAL OPERATORS AND RECURRENCE FORMULA OF THEIR GREEN′S FUNCTION 认领 引用 被引量：1
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作者 许跃生 《Applied Mathematics and Mechanics(English Edition)》 SCIE 1984年第3期1359-1364,共6页
In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green fun... In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given. 展开更多
关键词 LEIBNIZ S FUNCTION FORMULA OF GENERALIZED DIFFERENCE WITH RESPECT TO A CLASS OF DIFFERENTIAL OPERATORS AND RECURRENCE FORMULA OF THEIR GREEN
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DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF RAPIDLY DECREASING SEQUENCES 认领 引用
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作者 M.MALDONADO J.PRADA M.J.SENOSIAIN 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期325-333,共9页
We consider the space of rapidly decreasing sequences s and the derivative operator D defined on it. The object of this article is to study the equivalence of a differential operator of infinite order; that is φ（D）... We consider the space of rapidly decreasing sequences s and the derivative operator D defined on it. The object of this article is to study the equivalence of a differential operator of infinite order; that is φ（D） =^∞∑k=0φkD^k.φk constant numbers an a power of D.Dn, meaning, is there a isomorphism X （from s onto s） such that Xφ（D） = D^nX？. We prove that if φ（D） is equivalent to Dn, then φ（D） is of finite order, in fact a polynomial of degree n. The question of the equivalence of two differential operators of finite order in the space s is addressed too and solved completely when n = 1. 展开更多
关键词 Ordinary differential operators sequence spaces operators on function spaces
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Recast combination functions of coordinate and momentum operators into their ordered product forms 认领 引用
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作者 Lei Wang Xiang-Guo Meng Ji-Suo Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第5期85-91,共7页
By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater tha... By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater than the existing ways.These products are very useful in obtaining some new differential relations and useful mathematical integral formulas.Further,we derive the normally ordered form of the operator(fQ+gP)^-n with n being an arbitrary positive integer by using the parameter tracing method of operators together with the intermediate coordinate-momentum representation.In addition,general mutual transformation rules of the normal and anti-normal orderings,which have good universality,are derived and hence the anti-normal ordering of(fQ+gP)^-n is also obtained.Finally,the application of some new identities is given. 展开更多
关键词 normal and anti-normal orderings parameter differential method of operators intermediate coordinate-momentum representation
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Spectrum of a class of fourth order left-definite differential operators 认领 引用 被引量：2
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作者 GAO Yun-lan SUN Jiong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2008年第1期51-56,共6页
The spectrum of a class of fourth order left-definite differential operators is studied. By using the theory of indefinite differential operators in Krein space and the relationship between left-definite and right-def... The spectrum of a class of fourth order left-definite differential operators is studied. By using the theory of indefinite differential operators in Krein space and the relationship between left-definite and right-definite operators, the following conclusions are obtained： if a fourth order differential operator with a self-adjoint boundary condition that is left-definite and right-indefinite, then all its eigenvalues are real, and there exist countably infinitely many positive and negative eigenvalues which are unbounded from below and above, have no finite cluster point and can be indexed to satisfy the inequality …≤λ-2≤λ-1≤λ-0〈0〈λ0≤λ1≤λ2≤… 展开更多
关键词 left-definite differential operator right-definite differential operator Krein space spectrum,eigenvalue.
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A New Treatment for Some Periodic Schr?dinger Operators Ⅱ: The Wave Function 认领 引用
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作者 Wei H 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第6期645-654,共10页
Following the approach of our previous paper we continue to study the asymptotic solution of periodic Schrodinger operators. Using the eigenvalues obtained earlier the corresponding asymptotic wave functions are deriv... Following the approach of our previous paper we continue to study the asymptotic solution of periodic Schrodinger operators. Using the eigenvalues obtained earlier the corresponding asymptotic wave functions are derived. This gives further evidence in favor of the monodromy relations for the Floquet exponent proposed in the previous paper. In particular, the large energy asymptotic wave functions are related to the instanton partition function of N = 2 supersymmetric gauge theory with surface operator. A relevant number theoretic dessert is appended. 展开更多
关键词 spectral theory periodic differential operators Seiberg-Witten duality instanton partition function
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Realization of the N(odd)-Dimensional Quantum Euclidean Space by Differential Operators 认领 引用 被引量：1
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作者 LIYun JINGSi-Cong 《Communications in Theoretical Physics》 SCIE CAS 2004年第2期175-178,共4页
The quantum Euclidean space is a kind of noncommutative space that is obtained from ordinary Euclidean space by deformation with parameter q. When N is odd, the structure of this space is similar to . Motivated by rea... The quantum Euclidean space is a kind of noncommutative space that is obtained from ordinary Euclidean space by deformation with parameter q. When N is odd, the structure of this space is similar to . Motivated by realization of by differential operators in , we give such realization for and cases and generalize our results to (N odd) in this paper, that is, we show that the algebra of can be realized by differential operators acting on C&#x221e; functions on undeformed space . 展开更多
关键词 noncommutative quantum space differential operator
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ON APPROXIMATION OF SMOOTH FUNCTIONS FROM NULL SPACES OF OPTIMAL LINEAR DIFFERENTIAL OPERATORS WITH CONSTANT COEFFICIENTS 认领 引用
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作者 Vesselin Vatchev 《Analysis in Theory and Applications》 2011年第2期187-200,共14页
For a real valued function f defined on a finite interval I we consider the problem of approximating f from null spaces of differential operators of the form Ln（ψ） =∑k=0^n akψ（k） where the constant coefficients... For a real valued function f defined on a finite interval I we consider the problem of approximating f from null spaces of differential operators of the form Ln（ψ） =∑k=0^n akψ（k） where the constant coefficients ak C R may be adapted to f. 展开更多
关键词 approximation of analytic function differential operator fundamental set of solutions
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Fractional Discrete-Time Analysis of an Emotional Model Built on a Chaotic Map through the Set of Equilibrium and Fixed Points 认领 引用 被引量：1
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作者 Shaher Momani Rabha W.Ibrahim Yeliz Karaca 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第4期809-826,共18页
Fractional discrete systems can enable the modeling and control of the complicated processes more adaptable through the concept of versatility by providing systemdynamics’descriptions withmore degrees of freedom.Nume... Fractional discrete systems can enable the modeling and control of the complicated processes more adaptable through the concept of versatility by providing systemdynamics’descriptions withmore degrees of freedom.Numerical approaches have become necessary and sufficient to be addressed and employed for benefiting from the adaptability of such systems for varied applications.A variety of fractional Layla and Majnun model(LMM)system kinds has been proposed in the current work where some of these systems’key behaviors are addressed.In addition,the necessary and sufficient conditions for the stability and asymptotic stability of the fractional dynamic systems are investigated,as a result of which,the necessary requirements of the LMM to achieve constant and asymptotically steady zero resolutions are provided.As a special case,when Layla and Majnun have equal feelings,we propose an analysis of the system in view of its equilibrium and fixed point sets.Considering that the system has marginal stability if its eigenvalues have both negative and zero real portions,it is demonstrated that the system neither converges nor diverges to a steady trajectory or equilibrium point.It,rather,continues to hover along the line separating stability and instability based on the fractional LMM system. 展开更多
关键词 Fractional difference system fractional differential operators fractional calculus chaotic map equilibrium fixed point sets nyquist plot routh-Hurwitz criterion
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ONSOMELINEARISOMORPHICTHEOREMSFORCERTAINNONSYMMETRICDIFFERENTIALOPERATORSOFSIXTHORDERWITHPARAMETER 认领 引用
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作者 Zhang Xingtai Liu Yingfan Science of College, NUAA29 Yudao Street, Nanjing 210016, P. R. China 《Transactions of Nanjing University of Aeronautics and Astronautics》 1996年第1期112-117,共6页
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large ext... This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large extent, explain and control the stability of some objects in their moving processes. 展开更多
关键词 differential operator regularity stability linear isomorphism Opial inequality interpolating inequality
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Inverse Differential Operators in Time and Space 认领 引用
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作者 Edwin Eugene Klingman 《Journal of Applied Mathematics and Physics》 2023年第12期3789-3799,共11页
When one function is defined as a differential operation on another function, it’s often desirable to invert the definition, to effectively “undo” the differentiation. A Green’s function approach is often used to ... When one function is defined as a differential operation on another function, it’s often desirable to invert the definition, to effectively “undo” the differentiation. A Green’s function approach is often used to accomplish this, but variations on this theme exist, and we examine a few such variations. The mathematical analysis of  is sought in the form  if such an inverse operator exists, but physics is defined by both mathematical formula and ontological formalism, as I show for an example based on the Dirac equation. Finally, I contrast these “standard” approaches with a novel exact inverse operator for field equations. 展开更多
关键词 Matrix-Inverse Differential Operators Green’s Functions Dirac’s Equation Wave Equations Inverse Curl Operator
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On the Spectra of General Ordinary Quasi-Differential Operators and Their L2w-Solutions 认领 引用
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作者 Sobhy El-Sayed Ibrahim 《Advances in Pure Mathematics》 2022年第3期186-205,共20页
In this paper, we consider the general ordinary quasi-differential expression τ of order n with complex coefficients and its formal adjoint τ+ on the interval [a,b). We shall show in the case of one singular end-poi... In this paper, we consider the general ordinary quasi-differential expression τ of order n with complex coefficients and its formal adjoint τ+ on the interval [a,b). We shall show in the case of one singular end-point and under suitable conditions that all solutions of a general ordinary quasi-differential equation are in the weighted Hilbert space provided that all solutions of the equations and its adjoint are in . Also, a number of results concerning the location of the point spectra and regularity fields of the operators generated by such expressions may be obtained. Some of these results are extensions or generalizations of those in the symmetric case, while the others are new. 展开更多
关键词 General Ordinary Quasi-Differential Expressions Regular and Singular End-Points Singular Differential Operators Essential Spectra Point Spectra and Regularity Fields
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Generators of Rings of Differential Operators on a Class of k-algebras 认领 引用
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作者 Liu Haixia Wang Mingsheng 《Chinese Quarterly Journal of Mathematics》 1997年第2期1-4,共4页
In this paper,we find an explicit method to calculate generators of rings of differential operators on a class of k-algebras.
关键词 rings of differential operators singular point
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