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math.CA2024★ 1 cited
Singular Integrals associated with Reflection Groups on Euclidean Space
Yongsheng Han, Ji Li, Chaoqiang Tan +2
In the field of harmonic analysis, geometric considerations are frequently crucial. Specially, group actions such as translations, dilations and rotations on Euclidean space are in…
math.CA2022
Singular integral operators, theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting
Chaoqian Tan, Yanchang Han, Yongsheng Han +2
The purpose of this paper is to introduce a new class of singular integral operators in the Dunkl setting involving both the Euclidean metric and the Dunkl metric. Then we provide…
math.CA2017★ 1 cited
A class of singular integrals associated with Zygmund dilations
Yongsheng Han, Ji Li, Chin-Cheng Lin +1
The main purpose of this paper is to study multi-parameter singular integral operators which commute with Zygmund dilations. We introduce a class of singular integral operators ass…