On traces of Sobolev functions on the boundary of extension domains
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Publication:3648178
DOI10.1090/S0002-9939-09-10045-XzbMath1188.46019OpenAlexW2088326595MaRDI QIDQ3648178
Publication date: 24 November 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10045-x
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Traces of Sobolev functions on fractal type sets and characterization of extension domains
- The trace of potentials on general sets
- The trace to the boundary of Sobolev spaces on a snowflake
- The Laplacian with Robin boundary conditions on arbitrary domains
- On a capacity for modular spaces
- Traces and Sobolev extension domains
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
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