Embeddings of the fractional Sobolev spaces on metric-measure spaces

DOI10.1016/j.na.2022.112867zbMath1498.46047OpenAlexW4220853134MaRDI QIDQ2141047

Przemysław Górka, Artur Słabuszewski

Publication date: 23 May 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.112867

zbMATH Keywords

Sobolev spacesSobolev embeddingscompact embeddingmetric-measure spacesfractional spaces

Mathematics Subject Classification ID

Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (1)

Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
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• Characterization of trace spaces on regular trees via dyadic norms
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• Sobolev met Poincaré
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• Separability of a Metric Space Is Equivalent to the Existence of a Borel Measure
• Interpolation properties of Besov spaces defined on metric spaces
• Fractional Sobolev extension and imbedding
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