度量空间中的Besov和triiebel - lizorkin容量

IF 0.9 3区数学 Q2 MATHEMATICS Mathematica Slovaca Pub Date : 2023-08-01 DOI:10.1515/ms-2023-0069

Nijjwal Karak, Debarati Mondal

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引用次数: 0

摘要

摘要我们根据Netrusov-Hausdorff内容证明了度量空间中Hajłasz-Besov容量的下界估计。我们还证明了Hajłasz-Triebel-Lizorkin容量在Hausdoroff含量方面的类似估计。这些结果是Nuutinen在2016年和第一作者在2020年获得的早期结果的改进。

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Besov and Triebel-Lizorkin Capacity in Metric Spaces

ABSTRACT We prove a lower bound estimate for Hajłasz-Besov capacity in metric spaces in terms of Netrusov-Hausdorff content. We also prove a similar estimate for Hajłasz-Triebel-Lizorkin capacity in terms of Hausdoroff content. These results are improvements of the earlier results obtained by Nuutinen in 2016 and the first author in 2020.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.

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