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Mixed radial-angular bounds for a class of integral operators on Heisenberg groups
Xiang Li, Huan Liang, Shaozhuang Xu +1
In this paper, we will prove the sharp bounds of various operators in mixed radial angular spaces on Heisenberg groups. It mainly includes the boundedness of linear transformation…
Characterizations for multilinear fractional maximal and integral operators and their commutators on generalized weighted Morrey spaces and applications
Xi Cen, Qianjun He, Xiang Li +1
This paper is devoted to studying the boundedness of multilinear operartors and their commutators on generalized weighted Morrey spaces, which includes multilinear fractional maxim…
On profile decomposition for Airy type equation
Boning Di, Chenjie Fan, Dunyan Yan
We study the linear profile decomposition for the Airy type equation, where the associated Strichartz inequality corresponds to the Fourier extension inequality on the odd curve $ξ…
Sharp bounds for the multilinear integral operators on Heisenberg group BMO space
Huan Liang, Xiang Li, Dunyan Yan
In this paper, we study m-linear n-demensional Hardy-Littlewood-Pólya operator and m-linear n-demensional Hilbert operator on Heisenberg group BMO space. We obtain that the above t…
Sharp bound for m-linear -dimensional Hardy-Littlewood-Polya operator in Morrey space on Heisenberg group
Xiang Li, Zhongci Hang, Zhanpeng Gu +1
In this paper, we obtained the sharp bounds for -linear -dimensional Hardy-Littlewood-Pólya operator and Hilbert operator in two power weighted Morrey space on Heisenberg gro…
Sharp bounds on higher-dimensional product spaces for Hardy-type operators on Heisenberg group
Zhongci Hang, Wenfeng Liu, Xiang Li +1
In this paper, we study sharp bound on higher-dimensional Lebesgue product space for Hardy operator on Heisenberg group, the constants of sharp bounds are obtained. In addition, we…
Characterizations for multi-sublinear operators and their commutators on three kinds of generalized weighted Morrey spaces and applications
Xi Cen, Xiang Li, Dunyan Yan
The main questions raised in this paper are to find the sufficient conditions that make multi-sublinear operators and their commutators , ${T_{\sum {\vec b…
Mixed radial-angular bounds for Hardy-type operators on Heisenberg groups
Zhongci Hang, Xiang Li, Dunyan Yan
In this paper, we will study -dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg groups and obtain their sharp bounds by using the rotation met…
Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group
Xiang Li, Zhanpeng Gu, Dunyan Yan +1
In this paper, we will use the conclusions and methods in \cite{1} to obtain the sharp bounds for a class of integral operators with the nonnegative kernels in weighted-type spaces…