Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces

DOI10.1007/s00526-022-02382-6OpenAlexW3196844396MaRDI QIDQ2680529

Denis Brazke, Armin Schikorra, Po-Lam Yung

Publication date: 4 January 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04159

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces

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