Theorems on extension, multipliers and diffeomorphisms for generalized Sobolev-Liouville classes in domains with a Lipschitz boundary

zbMath0635.46031MaRDI QIDQ1097475

G. A. Kalyabin

Publication date: 1987

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

pointwise multiplierLipschitz boundarydomains with minimally smooth boundaryextension operator of E. M. Steingeneralized Sobolev-Liouville classesHestenes extension operatorspaces of Lizorkin-Triebel type

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38)

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On the Whitney problem for weighted Sobolev spaces ⋮ Optimal cubature formulas on classes of periodic functions in several variables

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