Characterization of automorphisms on the Barrett and the Diederich-Fornæss worm domains

Chen, So-Chin

doi:10.1090/S0002-9947-1993-1116311-1

Characterization of automorphisms on the Barrett and the Diederich-Fornæss worm domains
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Trans. Amer. Math. Soc. 338 (1993), 431-440 Request permission

Abstract:

In this paper we show that every automorphism on either the Barrett or the Diederich-Fornaess worm domains is given by a rotation in $w$-variable. In particular, any automorphism on either one of these two domains can be extended smoothly up to the boundary.

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