Imbedding theorems for spaces of functions of a countable number of variables and their applications

DOI10.1007/BF00967770zbMath0512.46038MaRDI QIDQ1839414

N. N. Frolov

Publication date: 1982

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

zbMATH Keywords

imbedding theoremsHilbert-Schmidt operatorGauss measuretrace theoremsregularity of solutions for elliptic differential equations with infinite dimensional argumentspaces of functions of a denumerable number of variables

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Potential theory on Hilbert space
• A fundamental solution of the parabolic equation on Hilbert space
• Positive definite functions of infinitely many variables in a layer
• Tensor Algebras Over Hilbert Spaces. I
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