45 citations · 143 across the 23 of their papers we have counts for
6 papers · 1 filter
Lipschitz and Triebel--Lizorkin spaces, commutators in Dunkl setting
Yongsheng Han, Ming-Yi Lee, Ji Li +1
We first study the Lipschitz spaces associated with the Dunkl metric, , and prove that it is a proper subspace of the classical Lipschitz spaces on $\mat…
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…
Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type with Applications to Boundedness of Calderón-Zygmund Operators
Fan Wang, Yongsheng Han, Ziyi He +1
In this article, the authors introduce Besov and Triebel-Lizorkin spaces on spaces of homogeneous type in the sense of Coifman and Weiss, prove that these (in)homogeneous Besov and…
Boundedness of Monge-Ampere singular integral operators on Besov spaces
Yongshen Han, Ming-Yi Lee, Chin-Cheng Lin
Let be a strictly convex and smooth function, and be the Monge-Ampère measure generated by For and , l…
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…
T1 theorem on product Carnot-Caratheodory spaces
Yongsheng Han, Ji Li, Chin-Cheng Lin
Nagel and Stein established -boundedness for a class of singular integrals of NIS type, that is, non-isotropic smoothing operators of order 0, on spaces $\widetilde{M}=M_1\tim…