Annales Academić Scientiarum Fennicć
Mathematica
Volumen 35, 2010, 627-632

UNIONS OF JOHN DOMAINS AND UNIFORM DOMAINS IN REAL NORMED VECTOR SPACES

Yaxiang Li and Xiantao Wang

Hunan Normal University, Department of Mathematics
Changsha, Hunan 410081, P.R. China; yaxiangli 'at' 163.com

Hunan Normal University, Department of Mathematics
Changsha, Hunan 410081, P.R. China; xtwang 'at' hunnu.edu.cn

Abstract. Let E be real normed vector spaces with the dimension at least 2. In this paper we study the following questions: When is the union of two John domains in E a John domain and when is the union of two uniform domains in E a uniform domain?

2000 Mathematics Subject Classification: Primary 30C65, 30C45; Secondary 30C20.

Key words: Union, John domain, uniform domain, bounded and convex domain.

Reference to this article: Y. Li and X. Wang: Unions of John domains and uniform domains in real normed vector spaces. Ann. Acad. Sci. Fenn. Math. 35 (2010), 627-632.

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doi:10.5186/aasfm.2010.3539