necessary and sufficient conditions of (α, β)-accessibility of domain in nonsmooth case

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ID: 188786
2015
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Abstract
In [1], [2] (α, β)-accessible domains in C were defined and investigated, and the criterion of (α, β)-accessibility in a smooth case was obtained. (α, β)-accessible domains are starlike, γ-accessible (γ = min{α, β}), and satisfy the so-called “cone condition” (i. e. the domains are conically accessible from the interior), which is important for applications, such as the theory of integral representations of functions, imbedding theorems, the questions of the boundary behavior of functions, the solvability of Dirichlet problem. In this paper the author obtains the necessary and some sufficient conditions of (α, β)-accessibility of domain in nonsmooth case.
Reference Key
amozova2015problemynecessary Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;K. F. Amozova
Journal terrestrial, atmospheric and oceanic sciences
Year 2015
DOI
10.15393/j3.art.2015.2950
URL
http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2950&lang=en
Keywords
(α

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