Interpolation of Spaces of Functions of Positive Smoothness on a Domain

被引：0

作者：

Besov, O., V ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2021年 / 312卷 / 01期

关键词：

OPERATORS;

D O I：

10.1134/S0081543821010053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Interpolation spaces are described for spaces of functions of positive smoothness on a domain G of the Euclidean space R-n that satisfies the flexible cone condition. As a consequence, multiplicative estimates for the norms of functions are obtained. The arguments are based on integral representations of functions over a flexible cone in terms of the local approximations of functions by polynomials and on estimates of the arising convolution operators.

引用

页码：91 / 103

页数：13

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