|
|||||
|
|
Decomposition and removability properties of John domains |
|
| Authors: | M. Huang S. Ponnusamy X. Wang |
| Affiliation: | (1) Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, People’s Republic of China;(2) Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600 036, India |
| Abstract: | In this paper we characterize John domains in terms of John domain decomposition property. In addition, we also show that a domain D in ℔ n is a John domain if and only if DP is a John domain, where P is a subset of D containing finitely many points of D. The best possibility and an application of the second result are also discussed. |
| Keywords: | John domain John domain decomposition property John disk uniform domain hyperbolic and quasihyperbolic metrics distance condition removability property |
| 本文献已被 SpringerLink 等数据库收录！ | |