Annales Academię Scientiarum Fennicę

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.

Full document as PDF file

doi:10.5186/aasfm.2010.3539

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