Approximation by Hölder Functions in Besov and Triebel–Lizorkin Spaces

被引：0
|
作者：
Toni Heikkinen
Heli Tuominen
机构：
[1] University of Jyväskylä,Department of Mathematics and Statistics
来源：
Constructive Approximation | 2016年 / 44卷
关键词：
Besov space; Triebel–Lizorkin space; Median; Hölder approximation; Metric measure space; 46E35; 43A85;
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摘要：
In this paper, we show that Besov and Triebel–Lizorkin functions can be approximated by a Hölder continuous function both in the Lusin sense and in norm. The results are proved in metric measure spaces for Hajłasz–Besov and Hajłasz–Triebel–Lizorkin functions defined by a pointwise inequality. We also prove new inequalities for medians, including a Poincaré type inequality, which we use in the proof of the main result.
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页码：455 / 482
页数：27
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