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The properties of generalized John domains in metric spaces
AIMS Mathematics 2024, 9(6): 15875-15890
Published: 06 May 2024
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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.

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