Propriété de trace en dimension infinie d'espaces du type Sobolev

DOI10.24033/bsmf.1847zbMath0377.46021OpenAlexW2583508569MaRDI QIDQ4157156

Mirella Kree

Publication date: 1977

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1977__105__141_0

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Tensor products in functional analysis (46M05)

Related Items (6)

Stochastic calculus with anticipating integrands ⋮ Espaces de Sobolev gaussiens. (Gaussian Sobolev spaces) ⋮ Gaussian measures on linear spaces ⋮ Une classe d'opérateurs elliptiques du second ordre sur un espace de Hilbert ⋮ Processus sur l'espace de Wiener associés à des opérateurs élliptiques à coefficients dans certains espaces de Sobolev. (Processes on the Wiener space associated to elliptic operators with coefficients in certain Sobolev spaces) ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Logarithmic Sobolev Inequalities
• ON A COERCIVE INEQUALITY FOR AN ELLIPTIC OPERATOR IN INFINITELY MANY INDEPENDENT VARIABLES
• Produits tensoriels topologiques et espaces nucléaires
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