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math.CA2024
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…
math.CA2024
Triebel-Lizorkin spaces in Dunkl setting
Chuhan Sun, Zhiming Wang
We establish Triebel-Lizorkin spaces in the Dunkl setting which are associated with finite reflection groups on the Euclidean space. The group structures induce two nonequivalent m…