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math.FA2021
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…
math.CA2021★ 2 cited
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…