Chenfeng Zhu

most citedExtension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

1 citations · 1 across the 4 of their papers we have counts for

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math.FA2023★ 1 cited

Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $Ω \subset R^{n}$ be a bounded $(ε, \infty)$ -domain with $ε \in (0, 1]$ , $X (R^{n})$ a ball Banach function space satisfying some extra mild assumpti…

math.FA2023

Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $γ \in R ∖ {0}$ and $X (R^{n})$ be a ball Banach function space satisfying some extra mild assumptions. Assume that $Ω = R^{n}$ or $Ω\subset\mathbb{R}…

math.FA2023

Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $X$ be a ball Banach function space on $R^{n}$ . In this article, under some mild assumptions about both $X$ and the boundedness of the Hardy--Littlewood maximal operator…