101 citations · 951 across the 150 of their papers we have counts for
7 papers · 2 filters
Poincaré Inequality Meets Brezis--Van Schaftingen--Yung Formula on Metric Measure Spaces
Feng Dai, Xiaosheng Lin, Dachun Yang +2
Let be a metric measure space of homogeneous type which supports a certain Poincaré inequality. Denote by the symbol $\mathcal{C}_{\mathrm{c}}^\ast(\mathcal{X…
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…
A Survey on Function Spaces of John--Nirenberg Type
Jin Tao, Dachun Yang, Wen Yuan
In this article, the authors give a survey on the recent developments of both the John--Nirenberg space and the space BMO as well as their vanishing subspaces such as VMO, X…
Nontriviality of Riesz--Morrey Spaces
Zongze Zeng, Der-Chen Chang, Tao +1
In this article, the authors completely answer an open question, presented in [Banach J. Math. Anal. 15 (2021), no. 1, 20], via showing that the Riesz--Morrey space is truly a new…
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…