DISTRIBUTIONS OF POLYNOMIALS IN MANY VARIABLES AND NIKOLSKII-BESOV SPACES

被引：6
作者：
Bogachev, Vladimir, I [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] St Tikhons Orthodox Univ, Moscow, Russia
来源：
REAL ANALYSIS EXCHANGE | 2019年 / 44卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Nikolskii-Besov spaces; distributions of polynomials; Gaussian measure; INFINITE-DIMENSIONAL SPACES; BOUNDED VARIATION; BV FUNCTIONS; SOBOLEV; INEQUALITIES; CONVERGENCE;
D O I：
10.14321/realanalexch.41.1.0049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss recent results and open problems connected with distributions of polynomials in many or infinitely many variables on spaces with Gaussian measures and Nikolskii-Besov spaces of fractional smoothness related to such distributions.
引用
收藏
页码：49 / 64
页数：16
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