Uniformity and Gromov Hyperbolicity of Domains in Metric Measure Spaces
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)].