Geodesic
Besov classes on finite and infinite dimensional spaces
Sbornik. Mathematics, Tome 210 (2019) no. 5, pp. 663-692

Voir la notice de l'article provenant de la source Math-Net.Ru

We give an equivalent description of Besov spaces in terms of a new modulus of continuity. Then we use a similar approach to introduce Besov classes on an infinite-dimensional space endowed with a Gaussian measure. Bibliography: 25 titles.
Keywords: embedding theorem, Gaussian measure, Ornstein-Uhlenbeck semigroup.
Mots-clés : Besov space 
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     author = {E. D. Kosov},
     title = {Besov classes on finite and infinite dimensional spaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_2019_210_5_a1/}
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E. D. Kosov. Besov classes on finite and infinite dimensional spaces. Sbornik. Mathematics, Tome 210 (2019) no. 5, pp. 663-692. http://geodesic.mathdoc.fr/item/SM_2019_210_5_a1/