The Correction Theorem for Anisotropic Spaces

被引：0

作者：

E. I. Berezhnoi

机构：

[1] P. G. Demidov Yaroslavl State University,

来源：

Mathematical Notes | 2001年 / 70卷

关键词：

moment problem; caustic; Sobolev problem; partial modulus of continuity; partial uniform modulus of continuity; correction theorem; symmetric space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The following old problem is solved. Given an ε> 0, a function f:[0,1]n→ ℝ, and the partial moduli of continuity of this function evaluated in a symmetric space X, find a set I(ε) of measure larger than 1-ε such that the partial uniform moduli of continuity of f determined for the points of this set admit an unimprovable (with respect to all restrictions to sets of measure larger than 1- ε) estimate of partial uniform moduli of continuity and write out this estimate of the uniform partial moduli of continuity.

引用

页码：291 / 299

页数：8

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