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math.CA2025
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…
math.CA2025
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…
math.CA2025
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…