Functions with a finite Dirichlet integral in a domain with cusp points on the boundary

DOI10.1007/BF01474147zbMath0546.46026MaRDI QIDQ797795

Vladimir Gilelevich Maz'ya

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

continuous linear extension mappinginward or outward cuspsspace of functions with finite Dirichlet integralspace of traces of functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Cites Work

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• Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Hardy's inequality with weights

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