Sobolev and Besov Classes on Infinite-Dimensional Spaces

被引：0
|
作者：
Bogachev, V. I. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] Natl Res Univ, Higher Sch Econ, Pokrovskii Bul 11, Moscow 109028, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2023年 / 323卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Sobolev space; Besov space; Gaussian measure; differentiable measure; BV FUNCTIONS; BOUNDED VARIATION; SMOOTH FUNCTIONS; DISTRIBUTIONS; POLYNOMIALS; APPROXIMATION; MEMBERSHIP; CONTINUITY; DENSITY; FINITE;
D O I：
10.1134/S0081543823050048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：59 / 80
页数：22
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