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Sobolev and Besov Classes on Infinite-Dimensional Spaces.

Authors :
Bogachev, V. I.
Source :
Proceedings of the Steklov Institute of Mathematics; Dec2023, Vol. 323 Issue 1, p59-80, 22p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00815438
Volume :
323
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the Steklov Institute of Mathematics
Publication Type :
Academic Journal
Accession number :
175876867
Full Text :
https://doi.org/10.1134/S0081543823050048
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