Extension operators on Sobolev spaces with decreasing integrability

zbMath1487.46035arXiv1908.09322MaRDI QIDQ5860001

Alexander Ukhlov

Publication date: 18 November 2021

Full work available at URL: https://arxiv.org/abs/1908.09322

zbMATH Keywords

Sobolev spacesextension operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

On the numerical range of second-order elliptic operators with mixed boundary conditions in \(L^p\) ⋮ The volume of the boundary of a Sobolev \((p,q)\)-extension domain

Cites Work

• Whitney-type extension theorems for jets generated by Sobolev functions
• On planar Sobolev \(L_p^m\)-extension domains
• Measure density and extendability of Sobolev functions
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Extensions and imbeddings
• On mappings generating the embeddings of Sobolev spaces
• Sobolev extension operators and Neumann eigenvalues
• Sobolev embeddings, extensions and measure density condition
• Sobolev extension by linear operators
• A Jordan Sobolev extension domain
• Extension of functions from Sobolev classes into the exterior of a domain with a peak on the boundary II
• Superposition operators in Sobolev spaces
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