96 citations · 109 across the 40 of their papers we have counts for
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Stein-Weiss inequality revisit on Heisenberg group
Chuhan Sun, Zipeng Wang
We study a family of fractional integral operators defined on Heisenberg group whose kernels satisfy Zygmund dilation. We give a characterization between a two-weight norm inequali…
Multi-parameter fractional integration on Heisenberg group
Chuhan Sun, Zipeng Wang
We study strong fractional maximal operator and fractional integral operator associated with Zygmund dilation defined on Heisenberg group. Characterizations are established for the…
Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group
Chuhan Sun, Zipeng Wang
We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type…
Microcanonical cascades and random homeomorphisms
Xinxin Chen, Yong Han, Yanqi Qiu +1
We give a complete solution to the Mandelbrot-Kahane problem for the microcanonical cascade measures by determing their exact Fourier dimensions. We also discuss the Frostman regul…
Hypercontractive inequalities and Nikol'ski\uı-type inequalities on weighted Bergman spaces
Zipeng Wang, Kenan Zhang
In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\uı-type inequalities for weighted Bergman spa…
The one-weight inequality for -harmonic Bergman projection
Kunyu Guo, Zipeng Wang, Kenan Zhang
Let be an integer. For the Bekollé-Bonami weight on the real unit ball , we obtain the following sharp one-weight estimate for the -ha…