Triebel-Lizorkin capacity and Hausdorff measure in metric spaces with chain condition

被引：1
|
作者：
Mondal, Debarati [1 ]
Karak, Nijjwal [1 ]
机构：
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 06期
关键词：
Haj & lstrok; asz-Triebel-Lizorkin capacity; Generalized Hausdorff measure; Chain condition; LOCAL GROWTH ENVELOPES; BESOV CAPACITY; GENERALIZED SMOOTHNESS; SOBOLEV SPACES;
D O I：
10.1007/s41478-024-00788-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we improve the lower bound estimate for capacity in Haj & lstrok;asz-Triebel-Lizorkin spaces in terms of Hausdorff Measure obtained in Karak and Mondal (Math Slovaca 73(4): 937-948, 2023) under an additional assumption that the metric space satisfies a chain condition. With the chain condition, we also improve a similar estimate for capacity in Haj & lstrok;asz-Triebel-Lizorkin space with generalized smoothness in terms of Hausdorff Measure obtained in [28].
引用
收藏
页码：3155 / 3172
页数：18
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