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Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators
Ziyi He, Dachun Yang, Taotao Zheng
Let and be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension . Also let be the smoothness index of the Auscher--…
Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Characterizations of Maximal Functions, Decompositions, and Dual Spaces
Xianjie Yan, Ziyi He, Dachun Yang +1
Let be a space of homogeneous type in the sense of Coifman and Weiss, and a ball quasi-Banach function space on , which support…
Wavelet Characterization of Besov and Triebel--Lizorkin Spaces on Spaces of Homogeneous Type and Its Applications
Ziyi He, Fan Wang, Dachun Yang +1
In this article, the authors establish the wavelet characterization of Besov and Triebel--Lizorkin spaces on a given space of homogeneous type in the sense of Coifman and…
Difference Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type
Fan Wang, Ziyi He, Dachun Yang +1
In this article, the authors introduce the spaces of Lipschitz type on spaces of homogeneous type in the sense of Coifman and Weiss, and discuss their relations with Besov and Trie…
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…