Borderline case of traces and extensions for weighted Sobolev spaces

DOI10.1007/s10114-023-1309-5arXiv2109.13505OpenAlexW3203843022MaRDI QIDQ6054006

Zhuang Wang, Manzi Huang, Xian Tao Wang, Zhi-Hao Xu

Publication date: 24 October 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13505

zbMATH Keywords

Sobolev spacetrace theoremborderline caseBesov-type spaceMuckenhoupt \(A_p\) weight

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Cites Work

• Description of traces of functions in the Sobolev space with a Muckenhoupt weight
• Traces of Sobolev functions on fractal type sets and characterization of extension domains
• Traces of weighted function spaces: dyadic norms and Whitney extensions
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Traces of weighted Sobolev spaces with Muckenhoupt weight. The case \(p=1\)
• Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities
• Traces and extensions of certain weighted Sobolev spaces on \(\mathbb{R}^n\) and Besov functions on Ahlfors regular compact subsets of \(\mathbb{R}^n\)
• Traces of weighted Sobolev spaces. Old and new
• Characterization of traces of smooth functions on Ahlfors regular sets
• Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains
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