Classifying Triebel-Lizorkin Capacities in Metric Spaces

被引：0
|
作者：
Lehrback, Juha [1 ]
Mohanta, Kaushik [1 ]
Vahakangas, Antti V. [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, Jyvaskyla 40014, Finland
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2025年 / 31卷 / 02期
基金：
芬兰科学院;
关键词：
Comparison of capacities; Capacity density condition; Haj & lstrok; asz-Triebel-Lizorkin space; Riesz capacity; Metric measure space; MAXIMAL FUNCTIONS; LEBESGUE POINTS; OPERATOR; BESOV;
D O I：
10.1007/s00041-025-10147-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study nonlocal or fractional capacities in metric measure spaces. Our main goal is to clarify the relations between relative Haj & lstrok;asz-Triebel-Lizorkin capacities, potentional Triebel-Lizorkin capacities, and metric space variants of Riesz capacities. As an application of our results, we obtain a characterization of a Haj & lstrok;asz-Triebel-Lizorkin capacity density condition, which is based on an earlier characterization of a Riesz capacity density condition in terms of Hausdorff contents.
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页数：50
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