On the Removability Property of φ‐Natural Domains in Real Banach Spaces

Abstract

In this paper, we investigate the removability of φ -natural domains in Banach spaces. Let E be a real Banach space with dimension at least 2, G a domain in E , and let be a countable subset of G which satisfies a quasi hyperbolic separation condition. Then, G is φ -natural if and only if G is ψ -natural, quantitatively.