12 citations · 14 across the 5 of their papers we have counts for
5 papers
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…
Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces
Yongsheng Han, Steven Krantz, Chaoqiang Tan
This paper is motivated by Phong and Stein's paper on non-standard singular integrals with mixed homogeneities. Our purpose is to study these new non-standard convolution singular…
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…
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…
Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groups
Yanchang Han, Yongsheng Han, Ji Li +1
The Marcinkiewicz multipliers are bounded for on the Heisenberg group (Müller, Ricci and Stein \cite{MR…