24 citations · 52 across the 22 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…