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 this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization o...In this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization ofg-Riesz bases by U-cross g-Gram matrices.In particular,someexamples show that the invertibility of U-cross g-Gram matrix is not possible when the associated sequences are g-frames but not g-Riesz bases or at most one of them is a g-Riesz basis.Finally,we show that the invertibility of U-cross g-Gram matrices is preserved under small perturbations of the operators or the sequences.展开更多
The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel I_(β,Ω′)^(p)and its commutators generated by b∈Λ_(γ)(Q_(p)^(n))(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 I_(β,Ω′)^(p)and its commutators generated by b∈Λ_(γ)(Q_(p)^(n))(0<γ<1)and the I_(β,Ω′)^(p) on grand p-adic Herz spaces.展开更多
基金Supported by Chizhou University High Level Talent Research Start up Fund (No.CZ2025YJRC52)。
文摘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 NSF of Henan Province (Nos.252300420353,252300421973)Key Scientific and Technological Project of Henan Province (No.242102210049)。
文摘In this paper,we interpret the operator representation using g-frames as a generalization of U-cross Gram matrices.We establish the link between U-cross g-Gram matrices andg-Riesz bases,and obtain a characterization ofg-Riesz bases by U-cross g-Gram matrices.In particular,someexamples show that the invertibility of U-cross g-Gram matrix is not possible when the associated sequences are g-frames but not g-Riesz bases or at most one of them is a g-Riesz basis.Finally,we show that the invertibility of U-cross g-Gram matrices is preserved under small perturbations of the operators or the sequences.
基金Supported by Natural Science Foundation of China(12461021)。
文摘The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel I_(β,Ω′)^(p)and its commutators generated by b∈Λ_(γ)(Q_(p)^(n))(0<γ<1)and the I_(β,Ω′)^(p) on grand p-adic Herz spaces.
