101 citations · 502 across the 90 of their papers we have counts for
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John--Nirenberg- Spaces via Congruent Cubes
Jin Tao, Zhenyu Yang, Wen Yuan
To shed some light on the John--Nirenberg space, the authors in this article introduce the John--Nirenberg- space via congruent cubes, , which when $p…
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…
Brezis--Van Schaftingen--Yung Formulae in Ball Banach Function Spaces with Applications to Fractional Sobolev and Gagliardo--Nirenberg Inequalities
Feng Dai, Xiaosheng Lin, Dachun Yang +2
Let be a ball Banach function space on . In this article, under some mild assumptions about both and the boundedness of the Hardy--Littlewood maximal operato…
Boundedness of Calderón--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes
Hongchao Jia, Jin Tao, Dachun Yang +2
Let , , , and . In this article, the authors introduce a reasonable version of…
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…
Boundedness of Fractional Integrals on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes
Hongchao Jia, Jin Tao, Dachun Yang +2
Let , , , and . In this article, the authors first find a reasonable version $\widetilde{I}_β…
Estimates for Littlewood--Paley Operators on Ball Campanato-Type Function Spaces
Hongchao Jia, Dachun Yang, Wen Yuan +1
Let be a ball quasi-Banach function space on and assume that the Hardy--Littlewood maximal operator satisfies the Fefferman--Stein vector-valued maximal inequal…
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…
Compactness Characterizations of Commutators on Ball Banach Function Spaces
Jin Tao, Dachun Yang, Wen Yuan +1
Let be a ball Banach function space on . Let be a Lipschitz function on the unit sphere of ,which is homogeneous of degree zero and has mean v…