On the embedding of BV space into Besov-Orlicz space

DOI10.1016/J.JFA.2022.109739OpenAlexW3210397077MaRDI QIDQ2097948

Aleksander Pawlewicz, Michał Wojciechowski

Publication date: 15 November 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12480

zbMATH Keywords

Sobolev spacesBesov spacesOrlicz spacesBV spaces

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) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

• On relations between moduli of continuity in different metrics
• Theory of function spaces
• On an embedding of Sobolev spaces
• Optimal Orlicz-Sobolev embeddings
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Weakly Differentiable Functions
• Several Types of Intermediate Besov-Orlicz Spaces
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