@article{Liu2024, 
author = {Hongjun Liu and Fang Yan and Ling Xia},
title = {The properties of generalized John domains in metric spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {15875-15890},
keywords = {Generalized John domain, uniform domain, decomposition property, union, quasiconvex domain},
url = {https://www.sciopen.com/article/10.3934/math.2024767},
doi = {10.3934/math.2024767},
abstract = {In this paper, we studied the properties of generalized John domains in metric space. We prove that a domain    D is a    φ-John domain if, and only if,    D  ∖  P is a        φ    ′  -John domain, where    P is a subset of    D containing finitely many points of    D. Meanwhile, we also showed that the union of    φ-John domains is a        φ    ″  -John domain in metric space.}
}