The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel Iβ,Ω′pand its commutators generated by b∈Λγ(Qpn)(0<γ<1)and the I_(β,Ω′...The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel Iβ,Ω′pand its commutators generated by b∈Λγ(Qpn)(0<γ<1)and the Iβ,Ω′p on grand p-adic Herz spaces.展开更多
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.
In 2021,the p-adic signature scheme and public-key encryption cryptosystem were introduced.These schemes have good efficiency but are shown to be not secure.The attack succeeds because the extension fields used in the...In 2021,the p-adic signature scheme and public-key encryption cryptosystem were introduced.These schemes have good efficiency but are shown to be not secure.The attack succeeds because the extension fields used in these schemes are totally ramified.In order to avoid this attack,the extension field should have a large residue degree.In this paper,we propose a method of constructing a kind of specific orthogonal basis in p-adic fields with a large residue degree,which would be helpful to modify the p-adic signature scheme and public-key encryption cryptosystem.展开更多
In this paper, the boundedness of commutators generated by the n- dimensional fractional Hardy operators and Lipschitz functions on p-adic function spaces are obtained. The authors show that these commutators are boun...In this paper, the boundedness of commutators generated by the n- dimensional fractional Hardy operators and Lipschitz functions on p-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy- Littlewood-Poly~ operator is also considered.展开更多
基金Supported by Natural Science Foundation of China(12461021)。
摘要The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel Iβ,Ω′pand its commutators generated by b∈Λγ(Qpn)(0<γ<1)and the Iβ,Ω′p on grand p-adic Herz spaces.
基金Supported by Chizhou University High Level Talent Research Start up Fund (No.CZ2025YJRC52)。
摘要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.
基金supported by the National Natural Science Foundation of China(Grant No.12271517).
摘要In 2021,the p-adic signature scheme and public-key encryption cryptosystem were introduced.These schemes have good efficiency but are shown to be not secure.The attack succeeds because the extension fields used in these schemes are totally ramified.In order to avoid this attack,the extension field should have a large residue degree.In this paper,we propose a method of constructing a kind of specific orthogonal basis in p-adic fields with a large residue degree,which would be helpful to modify the p-adic signature scheme and public-key encryption cryptosystem.
基金The NSF(11261055)of Chinathe NSF(2012211B28,2011211A005)of Xinjiangthe Open Foundation Project(2012ZDXK002)of Key Disciplines in Xinjiang
摘要In this paper, the boundedness of commutators generated by the n- dimensional fractional Hardy operators and Lipschitz functions on p-adic function spaces are obtained. The authors show that these commutators are bounded on Herz space and Lebesgue space with suitable indexes. Moreover, the commutator of Hardy- Littlewood-Poly~ operator is also considered.
基金Supported by the National Naural Science Foundation of China (1 0 3 71 0 65 ) InitiationFoundation for Ph.D of Univ.ersity.of Shanghai for Science and Technology(X45 1 )