On a method of extending differentiable functions

zbMath0433.46031MaRDI QIDQ1139255

Victor I. Burenkov

Publication date: 1976

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

zbMATH Keywords

Sobolev spaceLipschitz conditionpartition of unityaveraging kernelextending differentiable functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

The Nikol'skii type regularity of solutions to nonlinear problems in domains with Hölder boundary ⋮ Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains ⋮ Sobolev extension on \(L^p\)-quasidisks ⋮ REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C_{0;\gamma} DOMAINS ⋮ Interlineation of functions of two variables on \(M(M\geq{} 2)\) lines preserving the class \(C^ r(R^ 2)\)

This page was built for publication: On a method of extending differentiable functions