Measure density and embeddings of Hajłasz-Besov and Hajłasz-Triebel-Lizorkin spaces

DOI10.1016/j.jmaa.2018.11.086zbMath1423.46053arXiv1803.00224OpenAlexW2963586859WikidataQ112009451 ScholiaQ112009451MaRDI QIDQ2633775

Nijjwal Karak

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00224

zbMATH Keywords

measure densityHajłasz-Besov spaceHajłasz-Triebel-Lizorkin space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items (10)

Embeddings of the fractional Sobolev spaces on metric-measure spaces ⋮ Embedding of fractional Sobolev spaces is equivalent to regularity of the measure ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ Duality and distance formulas in Lipschitz-Hölder spaces ⋮ Characterization of trace spaces on regular trees via dyadic norms ⋮ Besov type function spaces defined on metric-measure spaces ⋮ Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities ⋮ A Sobolev type embedding theorem for Besov spaces defined on doubling metric spaces ⋮ Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure ⋮ A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type

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