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THE STRONGLY SINGULAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON MUSIELAK-ORLICZ HARDY SPACES 认领 引用
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作者 Xiao WANG Wenchang SUN 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1643-1658,共16页
In this paper,we prove the boundedness of strongly singular Calderón-Zygmund operators and their corresponding commutators when mapping from Musielak-Orlicz Hardy spaces into Musielak-Orlicz spaces.By introducing... In this paper,we prove the boundedness of strongly singular Calderón-Zygmund operators and their corresponding commutators when mapping from Musielak-Orlicz Hardy spaces into Musielak-Orlicz spaces.By introducing a specific subspace of BMO,we further show that the commutators generated by functions within this subspace and strongly singular Calderón-Zygmund operators remain bounded under the same mapping framework. 展开更多
关键词 strongly singular Calderón-Zygmund operators commutators Musielak-Orlicz Hardy spaces
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Lipschitz Estimates for the Commutators of Fractional Hardy and Hardy-Littlewood-Pólya Operators on Grand p-adic Variable Herz Spaces 认领 引用
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作者 常云鹏 武江龙 《数学进展》 CSCD 北大核心 2026年第2期419-430,共12页
In this article,we prove the boundedness for commutators of fractional Hardy and Hardy-Littlewood-Pólya operators on grand p-adic variable Herz spaces,where the symbols of the commutators belong to Lipschitz spaces.
关键词 p-adic field fractional Hardy operator Hardy-Littlewood-Pólya operator grand variable Herz space commutator
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New Weighted Estimates for Commutators of θ-Type Calderón-Zygmund Operator 认领 引用
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作者 XUE Feng-yu 《Chinese Quarterly Journal of Mathematics》 2026年第2期207-220,共14页
In this paper,we investigate the boundedness of commutators generated by theθ-Calderón-Zygmund operator with symbol function belonging to two kinds of weighted Campanato spaces.Specifically,we show that the comm... In this paper,we investigate the boundedness of commutators generated by theθ-Calderón-Zygmund operator with symbol function belonging to two kinds of weighted Campanato spaces.Specifically,we show that the commutators of theθ-type Calderón-Zygmund operator are bounded from weighted Lebesgue spaces to weighted Campanato spaces when symbol function belongs to weighted Lipschitz spaces;we also show that the commutators are bounded from weighted Morrey spaces to weighted Campanato spaces when symbol function belongs to a certain weighted Campanato space. 展开更多
关键词 θ-type Calderón-Zygmund operator Weighted Campanato space Commutator Weighted Morrey space
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Commutators of Complex Symmetric Operators 认领 引用
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作者 Rui Dou Xiaolong Ruan Sen Zhu 《Communications in Mathematical Research》 CSCD 2025年第1期59-68,共10页
Let C be a conjugation on a separable complex Hilbert space H.An operator T on H is said to be C-symmetric if CTC=-T*,and T is said to be Cskew symmetric if CTC=-T*.It is proved in this paper that each C-skew sy... Let C be a conjugation on a separable complex Hilbert space H.An operator T on H is said to be C-symmetric if CTC=-T*,and T is said to be Cskew symmetric if CTC=-T*.It is proved in this paper that each C-skew symmetric operator can be written as the sum of two commutators of C-symmetric operators. 展开更多
关键词 Complex symmetric operators commutators skew symmetric operators
Compact Commutators of Bilinear Fractional Integral Operators on Generalized Morrey Spaces 认领 引用
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作者 KU Fuli 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2025年第5期463-470,共8页
This paper considers compactness of the commutator[b,Iα]i(i=1,2),where Iαis a bilinear fractional integral operator,and b is a function in generalized Campanato spaces with variable growth condition.The author... This paper considers compactness of the commutator[b,Iα]i(i=1,2),where Iαis a bilinear fractional integral operator,and b is a function in generalized Campanato spaces with variable growth condition.The author gives sufficient conditions for the compactness of[b,Iα],(i=1,2)from the product of generalized Morrey spaces to generalized Morrey spaces. 展开更多
关键词 fractional integral commutators compactness generalized Campanato spaces generalized Morrey spaces
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Compactness of Fractional Calderón Type Commutators on Morrey Spaces 认领 引用
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作者 LI Aobo MEI Ting WEI Qi 《数学进展》 CSCD 北大核心 2025年第4期858-870,共13页
In this paper,the authors study the fractional Calderon type commutator TΩ,αAand its maximal operator MΩ,αAwith kernels having some kinds of Log-type Dini-condition and obtain the compactness on Morrey... In this paper,the authors study the fractional Calderon type commutator TΩ,αAand its maximal operator MΩ,αAwith kernels having some kinds of Log-type Dini-condition and obtain the compactness on Morrey spaces Lp,λ(Rn). 展开更多
关键词 Calderón type commutator compactness Log-type Dini-condition Morrey space
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Parameterized Littlewood-Paley Operators and Their Commutators on Two-Weight Grand Homogeneous Variable Herz-Morrey Spaces 认领 引用
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作者 Xijuan CHEN Wenwen TAO Guanghui LU 《Journal of Mathematical Research with Applications》 CSCD 2025年第2期231-242,共12页
In this paper,the authors prove that the parameterized area integralμΩ,Sρand the parameterized Littlewood-Paley gδ*-functionμΩ,δ*,ρare bounded on two-weight grand homogeneous variable Herz-Mo... In this paper,the authors prove that the parameterized area integralμΩ,Sρand the parameterized Littlewood-Paley gδ*-functionμΩ,δ*,ρare bounded on two-weight grand homogeneous variable Herz-Morrey spaces MKp,θ,q(·))α(·,λ)(ω12),where θ>0,λ∈(2,∞),q(·)∈B(Rn),α(·)∈L(Rn),ω1∈A_(p_(ω1))for p_(ω1)∈[1,∞]and ω2 is a weight.Furthermore,the authors prove that the commutators[b,μΩ,Sρ]which is formed by b∈BMO(Rn)and the μΩ,Sρ,and the[b,μΩ,δ*,ρ]generated by b∈BMO(Rn)and theμΩ,δ*,ρare bounded on MKp,θ,q(·))α(·,λ)(ω12),respectively. 展开更多
关键词 Grand homogeneous variable Herz-Morrey space parameterized area integral parameterized Littlewood-Paley gδ*-function commutator space BMO(Rn)
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Weighted estimates for multilinear commutators of multilinear singular integral operators with generalized kernels 认领 引用
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作者 LIN Yan YANG Qing ZHANG Pu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2025年第3期741-751,共11页
In this paper,the authors study the multilinear commutators generated by a class of multilinear singular integral operators with generalized kernels and Lipschitz functions.By establishing the sharp maximal estimates,... In this paper,the authors study the multilinear commutators generated by a class of multilinear singular integral operators with generalized kernels and Lipschitz functions.By establishing the sharp maximal estimates,the boundedness of this kind of multilinear commutators on product of weighted Lebesgue spaces can be obtained. 展开更多
关键词 multilinear singular integral sharp maximal function Lipschitz function multilinear commutator
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Boundedness of the Commutators of Rough Singular Integral Operators on Triebel–Lizorkin Spaces 认领 引用
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作者 LIU Jie GAO Wenhua 《数学进展》 CSCD 北大核心 2025年第5期1075-1086,共12页
Let Ω be homogeneous of degree zero,integrable on Sn−1 and have mean value zero,T be the homogeneous singular integral operator with kernel Ω(x)/|x|n and[b,T]be the commutator of Twith symbol b∈BMO(... Let Ω be homogeneous of degree zero,integrable on Sn−1 and have mean value zero,T be the homogeneous singular integral operator with kernel Ω(x)/|x|n and[b,T]be the commutator of Twith symbol b∈BMO(Rn).In this paper,the authors prove that if sup ζ∈Sn−1∫Sn−1|Ω(θ|logβ(1/|θ·ζ|)dθ2,then[b,T]is bounded on Triebel–Lizorkin space F0,qp(Rn)provided that 1+1/β−1<p,q<β. 展开更多
关键词 rough singular integral operator commutator Triebel-Lizorkin space Littlewood-Paley theory
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THE FRACTIONAL TYPE MARCINKIEWICZ INTEGRALS AND COMMUTATORS ON WEIGHTED HARDY SPACES 认领 引用 被引量:1
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作者 韩妍妍 伍火熊 《Acta Mathematica Scientia》 SCIE CSCD 2023年第5期1981-1996,共16页
This paper is devoted to studying the behaviors of the fractional type Marcinkiewicz integralsμΩ,βand the commutatorsμΩ,βb generated byμΩ,βwith b b∈Lloc(Rn)on weighted Hardy spaces.Under the assumption of th... This paper is devoted to studying the behaviors of the fractional type Marcinkiewicz integralsμΩ,βand the commutatorsμΩ,βb generated byμΩ,βwith b b∈Lloc(Rn)on weighted Hardy spaces.Under the assumption of that the homogeneous kernelΩsatisfies certain regularities,the authors obtain the boundedness ofμΩ,βfrom the weighted Hardy spaces Hωpp(Rn)to the weighted Lebesgue spaces Lωqq(Rn)for n/(n+β)≤<p≤1 with 1/q=1/p-β,as well as the same(Hωpp,Lωqq)-boudedness ofμΩ,βb when b belongs to BMOωp,p(Rn),which is a non-trivial subspace of BMO(Rn). 展开更多
关键词 fractional type Marcinkiewicz integrals commutators Muckenhoupt weights BMO spaces Hardy spaces
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Some Estimates forθ-Type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces 认领 引用 被引量:2
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作者 Hua Wang 《Analysis in Theory and Applications》 CSCD 2022年第4期361-393,共33页
In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Further... In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Furthermore,the strong type estimate and endpoint estimate of linear commutators[b,Tθ]formed by b and Tθare established.Also we study related problems about two-weight,weak type inequalities for Tθand[b,Tθ]in the weighted amalgam spaces and give some results. 展开更多
关键词 θ-type Calderόn–Zygmund operators commutators weighted amalgam spaces Muckenhoupt weights Orlicz spaces.
Some new estimates for the commutators of n-dimensional Hausdorff operator 认领 引用 被引量:1
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作者 HUSSAIN Amjad GAO Gui-lian 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第2期139-150,共12页
In this paper, we discuss the boundedness of commutators of high dimensional Hausdorff operator He on Herz type spaces. In addition, central BMO estimates for such commutators are also presented.
关键词 Hausdorff operators Commutators Herz Spaces Lipschitz functions CBMO functions.
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Multilinear Commutators of θ-Type Calderón-Zygmund Operators on Non-Homogeneous Metric Measure Spaces 认领 引用
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作者 Rulong Xie Lisheng Shu Hailian Wang 《Analysis in Theory and Applications》 CSCD 2017年第2期178-196,共19页
In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderon-Zygmund operators with RBMO(μ) functions on non-homogeneous metric measure spaces is obtained.
关键词 Multilinear commutators θ-type Calderon-Zygmund operators non-homogeneousmetric measure spaces RBMO(μ).
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L^p(R^n)-Boundedness of certain commutators 认领 引用
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作者 DI Yan-mei JIANG Li-ya 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第2期185-191,共7页
In this paper,the LP(Rn)-boundedness of the commutators generalized by BMO(Rn)function and the singular integral operator T with rough kernelΩ∈L log+L(Sn-1)is proved by using the Bony's formula for the paraprodu... In this paper,the LP(Rn)-boundedness of the commutators generalized by BMO(Rn)function and the singular integral operator T with rough kernelΩ∈L log+L(Sn-1)is proved by using the Bony's formula for the paraproduct of two functions. 展开更多
关键词 Commutators paraproduct Littlewood-Paley theory.
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Nested Commutators of Calderon-Zygmund Operators on Product Spaces 认领 引用
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作者 韩彦昌 《Chinese Quarterly Journal of Mathematics》 北大核心 2007年第2期187-194,共8页
Commutators of Calderon-Zygmund operators on product spaces to be study in the paper is the commutators of Sarah H Ferguson and Michael T Lacey. The L^P boundedness of the nested commutators is proved on product space... Commutators of Calderon-Zygmund operators on product spaces to be study in the paper is the commutators of Sarah H Ferguson and Michael T Lacey. The L^P boundedness of the nested commutators is proved on product spaces, where 1<p<∞. 展开更多
关键词 commutators product spaces Calderon-Zygmund operator
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Parameterized Littlewood-Paley Operators and Their Commutators on Lebesgue Spaces with Variable Exponent 认领 引用 被引量:8
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作者 Lijuan Wang Shuangping Tao 《Analysis in Theory and Applications》 CSCD 2015年第1期13-24,共12页
In this paper, by applying the technique of the sharp maximal function and the equivalent representation of the norm in the Lebesgue spaces with variable exponent, the boundedness of the parameterized Litflewood-Paley... In this paper, by applying the technique of the sharp maximal function and the equivalent representation of the norm in the Lebesgue spaces with variable exponent, the boundedness of the parameterized Litflewood-Paley operators, including the parameterized Lusin area integrals and the parameterized Littlewood-Paley gλ^*- functions, is established on the Lebesgue spaces with variable exponent. Furthermore, the boundedness of their commutators generated respectively by BMO functions and Lipschitz functions are also obtained. 展开更多
关键词 Parameterized Littlewood-Paley operators commutators Lebesgue spaces with variable exponent.
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Weighted multilinear p-adic Hardy operators and commutators on p-adic Herz-type spaces 认领 引用 被引量:1
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作者 MA Teng ZHOU Jiang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第3期554-570,共17页
In this paper,we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Ces`aro operator,we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and... In this paper,we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Ces`aro operator,we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and p-adic Morrey-Herz spaces,the corresponding operator norms are also established in each case.Moreover,the boundedness of commutators of these two operators with symbols in central bounded mean oscillation spaces and Lipschitz spaces on p-adic Morrey-Herz spaces are also given. 展开更多
关键词 Morrey-Herz spaces weighted multilinear p-adic Hardy operator commutators operator norms
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WEIGHTED ESTIMATES FOR COMMUTATORS OF MULTILINEAR CALDERóN-ZYGMUND OPERATORS WITH NON-DOUBLING MEASURES 认领 引用 被引量:11
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作者 林海波 孟岩 杨大春 《Acta Mathematica Scientia》 SCIE 2010年第1期1-18,共18页
Let μ be a nonnegative Radon measure on Rd, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weaktype estimates for the commutators generated by the multil... Let μ be a nonnegative Radon measure on Rd, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weaktype estimates for the commutators generated by the multilinear CalderSn-Zygmund op- erators and RBMO(μ) functions. 展开更多
关键词 non-doubling measure commutator multilinear Calderon-Zygmund opera-tor RBMO(μ) weight
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Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels 认领 引用 被引量:8
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作者 LIAN Jia-li LI Ji WU Huo-xiong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第1期109-120,共12页
This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequaliti... This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established. 展开更多
关键词 Multilineav operator commutator non-smooth kernel sharp maximal function weighted norminequality.
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Multilinear singular integrals and commutators in variable exponent Lebesgue spaces 认领 引用 被引量:27
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作者 HUANG Ai-wu XU Jing-shi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第1期69-77,共9页
Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained.The vector-valued case is also considered.
关键词 Multilinear singular integral commutator variable exponent Lebesgue space BMO function,maximal operator.
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