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math.FA2023
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…
math.FA2023
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…