Uniform Domains and Uniform Domain Decomposition Property in Real Normed Vector Spaces

M. Huang; X. Wang

doi:10.7146/math.scand.a-15485

Uniform Domains and Uniform Domain Decomposition Property in Real Normed Vector Spaces

Authors

M. Huang
X. Wang

DOI:

https://doi.org/10.7146/math.scand.a-15485

Abstract

Let

$E$ be a real normed vector space with

$\dim(E)\geq 2$ ,

$D$ a proper subdomain of

$E$ . In this paper we characterize uniform domains in

$E$ in terms of the uniform domain decomposition property. In addition, we discuss the relation between quasiballs and domains with the quasiball decomposition property in

$\mathsf{R}^n$ .

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Published

2013-09-01

How to Cite

Huang, M., & Wang, X. (2013). Uniform Domains and Uniform Domain Decomposition Property in Real Normed Vector Spaces. MATHEMATICA SCANDINAVICA, 113(1), 128–142. https://doi.org/10.7146/math.scand.a-15485