Brezis-Seeger-Van Schaftingen-Yung-type characterization of homogeneous ball Banach Sobolev spaces and its applications

DOI10.1142/S0219199723500414MaRDI QIDQ6577573

Dachun Yang, Chenfeng Zhu, Wen Yuan

Publication date: 24 July 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bourgain-Brezis-Mironescu formulaball Banach function spaceBrezis-Seeger-Van Schaftingen-Yung formula\((\varepsilon,\infty)\)-domainball Banach Sobolev space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Related Items (3)

Bourgain-Brezis-Mironescu-type characterization of inhomogeneous ball Banach Sobolev spaces on extension domains ⋮ Extension and embedding of Triebel-Lizorkin-type spaces built on ball quasi-Banach spaces ⋮ Generalized Frank characterizations of Muckenhoupt weights and homogeneous ball Banach Sobolev spaces

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