On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces

被引：0

作者：

Katkovskaya, I. N. ^{[1
]}

Krotov, V. G. ^{[1
]}

机构：

[1] Belarusian Natl Tech Univ, Minsk 220013, BELARUS

来源：

MATHEMATICAL NOTES | 2020年 / 107卷 / 1-2期

关键词：

metric measure space; best approximations by constants; SOBOLEV CLASSES M-ALPHA(P); GREATER-THAN; FINE PROPERTIES;

D O I：

10.1134/S0001434620010253

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions for the constants of best approximation in the metric of the spaces L-p(B) to be continuous or semicontinuous as functions of the center of a ball B of fixed radius in a metric space with Borel measure are studied.

引用

页码：257 / 263

页数：7

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