A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type

DOI10.1016/j.jfa.2022.109687zbMath1505.46035arXiv2202.07124OpenAlexW4293032476MaRDI QIDQ2088084

Wen Yuan, Ryan Alvarado, Da Chun Yang

Publication date: 21 October 2022

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

Full work available at URL: https://arxiv.org/abs/2202.07124

zbMATH Keywords

space of homogeneous typeSobolev extensionmeasure density conditionBesov-Triebel-Lizorkin extension

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) 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

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