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
收藏
页码：257 / 263
页数：7
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