On Removability Properties of psi-Uniform Domains in Banach Spaces



: Huang M, Vuorinen M, Wang X

Publisher: SPRINGER BASEL AG

: 2017

: Complex Analysis and Operator Theory

: COMPLEX ANALYSIS AND OPERATOR THEORY

: COMPLEX ANAL OPER TH

: 11

: 1

: 35

: 55

: 21

: 1661-8254

: 1661-8262

DOI: https://doi.org/10.1007/s11785-016-0566-z


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.



Last updated on 2024-26-11 at 13:40