A1 Refereed original research article in a scientific journal
On Removability Properties of psi-Uniform Domains in Banach Spaces
Authors: Huang M, Vuorinen M, Wang X
Publisher: SPRINGER BASEL AG
Publication year: 2017
Journal:Complex Analysis and Operator Theory
Journal name in sourceCOMPLEX ANALYSIS AND OPERATOR THEORY
Journal acronym: COMPLEX ANAL OPER TH
Volume: 11
Issue: 1
First page : 35
Last page: 55
Number of pages: 21
ISSN: 1661-8254
eISSN: 1661-8262
DOI: https://doi.org/10.1007/s11785-016-0566-z
Abstract
Suppose that E is a real Banach space with dimension at least 2. The main aim of this paper is to show that a domain D in E is a -uniform domain if and only if is a -uniform domain, and D is a uniform domain if and only if also is a uniform domain, whenever P is a countable subset of D satisfying a quasihyperbolic separation condition. This condition requires that the quasihyperbolic distance with respect to D between each pair of distinct points in P has a lower bound greater than or equal to 1/2.
Suppose that E is a real Banach space with dimension at least 2. The main aim of this paper is to show that a domain D in E is a -uniform domain if and only if is a -uniform domain, and D is a uniform domain if and only if also is a uniform domain, whenever P is a countable subset of D satisfying a quasihyperbolic separation condition. This condition requires that the quasihyperbolic distance with respect to D between each pair of distinct points in P has a lower bound greater than or equal to 1/2.
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