Embeddings and separable differential operators in spaces of Sobolev-lions type

DOI10.1134/S0001434608110278zbMath1219.35009MaRDI QIDQ635658

Veli B. Shakhmurov

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceprobability spaceinterpolation of Banach spacesoperator-valued Fourier multiplierdifferential operator equationembedding operatorBanach-valued function spaceSobolev-Lions spaceUMD-space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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