Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces
From MaRDI portal
Publication:6050100
DOI10.1007/s00526-023-02565-9arXiv2304.00949MaRDI QIDQ6050100
Wen Yuan, Da Chun Yang, Chenfeng Zhu
Publication date: 12 October 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.00949
Hardy-Littlewood maximal operatorball Banach Sobolev spacesBrezis-Seeger-Van Schaftingen-Yung formulafractional Gagliardo-Nirenberg-type inequalitiesfractional Sobolev-type inequalities
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) 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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Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces
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