Degree-independent Sobolev extension on locally uniform domains
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Publication:2493045
DOI10.1016/j.jfa.2005.11.013zbMath1158.46025OpenAlexW1968115370MaRDI QIDQ2493045
Publication date: 9 June 2006
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2005.11.013
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Uniform, Sobolev extension and quasiconformal circle domains
- Uniform domains and the ubiquitous quasidisk
- Extension of the range of a differentiable function
- Uniform and Sobolev Extension Domains
- Real Interpolation of Sobolev Spaces on Subdomains of Rn
- Injectivity theorems in plane and space
- Extension of C ∞ Functions Defined in a Half Space
- Investigations about continued fractions (reprint)
