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.

引用

页码：59 / 80

页数：22

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