Geodesic
Sobolev and Besov Classes on Infinite-Dimensional Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 65-86

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We discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of some of these classes, and obtain a number of new results.
Keywords: Sobolev space, Gaussian measure, differentiable measure.
Mots-clés : Besov space 
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     author = {V. I. Bogachev},
     title = {Sobolev and {Besov} {Classes} on {Infinite-Dimensional} {Spaces}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {65--86},
     publisher = {mathdoc},
     volume = {323},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2023_323_a3/}
}
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V. I. Bogachev. Sobolev and Besov Classes on Infinite-Dimensional Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 65-86. http://geodesic.mathdoc.fr/item/TM_2023_323_a3/