Geometric Properties of Planar BV -Extension Domains

DOI10.1007/978-1-4419-1341-8_11zbMath1196.46025OpenAlexW89346914WikidataQ109994485 ScholiaQ109994485MaRDI QIDQ5188034

Pekka Koskela, Nageswari Shanmugalingam, Michele~jun. Miranda

Publication date: 10 March 2010

Published in: International Mathematical Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-1341-8_11

zbMATH Keywords

functions with bounded variationextension domains

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 ⋮ On planar Sobolev \(L_p^m\)-extension domains ⋮ A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces ⋮ A necessary condition for Sobolev extension domains in higher dimensions ⋮ Two-sided boundary points of Sobolev extension domains on Euclidean spaces ⋮ Trace theorems for functions of bounded variation in metric spaces ⋮ Extensions and traces of functions of bounded variation on metric spaces ⋮ Relaxation and integral representation for functionals of linear growth on metric measure spaces ⋮ Bi-Lipschitz invariance of planar 𝐵𝑉- and 𝑊^{1,1}-extension domains

Cites Work

• Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Extensions and imbeddings
• Uniform, Sobolev extension and quasiconformal circle domains
• A note on the extension of BV functions in metric measure spaces
• The best possible constant in generalized Hardy's inequality for convex domain in rn
• Holes and maps of Euclidean domains
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