A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces

DOI10.1007/s42985-023-00232-4arXiv2008.07631OpenAlexW4360826760MaRDI QIDQ6103778

Guy Fabrice Foghem Gounoue

Publication date: 27 June 2023

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07631

zbMATH Keywords

Sobolev spacesextension domainsbounded variation spaces\(p\)-Lévy integrabilitynonlocal energy forms

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach sequence spaces (46B45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Spaces of measures (46E27)

Related Items (3)

Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains

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