Vol. 156, No. 1, 1992

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On some properties of exhaustion maps between bounded domains

Chi Keung Cheung

Vol. 156 (1992), No. 1, 107–117
Abstract

In this paper, we study the properties of exhaustion maps defined on Thullen domains and piecewise smooth intersection domains. In general, “exhaustion between two bounded domains” is a much weaker condition than biholomorphism, but in the above two cases, we are able to show that the two concepts are almost the same. In particular, we generalize Pinchuk’s theorems to the case of exhaustion maps in the domains mentioned above.

Mathematical Subject Classification 2000
Primary: 32H02
Secondary: 32F15
Milestones
Received: 13 May 1991
Published: 1 November 1992
Authors
Chi Keung Cheung