<p>In this paper, we establish a characterization for a domain in a metric measure space to be locally Loewner and uniform in terms of Loewner condition and Gromov hyperbolicity. This characterization gives an affirmative answer to an open problem in [Wang, X., Yang, Z.: Uniformity and Loewner conditions of metric spaces. Results Math. <b>79</b>, 31 (2024)].</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Uniformity and Gromov Hyperbolicity of Domains in Metric Measure Spaces

  • Zhiqiang Yang

摘要

In this paper, we establish a characterization for a domain in a metric measure space to be locally Loewner and uniform in terms of Loewner condition and Gromov hyperbolicity. This characterization gives an affirmative answer to an open problem in [Wang, X., Yang, Z.: Uniformity and Loewner conditions of metric spaces. Results Math. 79, 31 (2024)].