A density problem for Sobolev spaces on Gromov hyperbolic domains

DOI10.1016/j.na.2016.07.007zbMath1371.46028arXiv1605.08260OpenAlexW2963014910WikidataQ109744559 ScholiaQ109744559MaRDI QIDQ515705

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

Publication date: 16 March 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08260

zbMATH Keywords

Sobolev spacedensity

Mathematics Subject Classification ID

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

Related Items (9)

Strong \textit{BV}-extension and \(W^{1,1}\)-extension domains ⋮ Non-removability of the Sierpiński gasket ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ A removability theorem for Sobolev functions and detour sets ⋮ A density result for homogeneous Sobolev spaces ⋮ A density result for homogeneous Sobolev spaces on planar domains ⋮ A density result on Orlicz-Sobolev spaces in the plane ⋮ Removable sets for weighted Orlicz-Sobolev spaces ⋮ The volume of the boundary of a Sobolev \((p,q)\)-extension domain

Cites Work

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• Sobolev-Poincaré implies John
• On Sobolev extension domains in \(\mathbb R^n\)
• Weakly Differentiable Functions
• Real Interpolation of Sobolev Spaces on Subdomains of Rn

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