4 papers
Strong maximal function revisit on Heisenberg group
Chuhan Sun
We prove the -boundedness of the strong maximal operator defined on a Heisenberg group w.r.t an absolutely continuous measure satisfying the product -property.
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…
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…
On the end-point of Stein-Weiss inequality
Chuhan Sun, Zipeng Wang
This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for p=1. Second, by considering a family of strong fractional integral operators whose…