The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type-Reference-Cited by-同舟云学术

The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type

Published:1991 Issue:1 Volume:323 Page:209-232
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Boggess A.,Dwilewicz R.,Nagel A.

Abstract

We show that the hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type in C n {C^n} contains an open set in C n {C^n} which emanates from the hypersurface a distance which is proportional to the length of the minor axis of the nonisotropic ball. In addition, we prove a maximal function estimate for plurisubharmonic functions which is important in the study of boundary values of holomorphic functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1991-323-01/S0002-9947-1991-1079050-X/S0002-9947-1991-1079050-X.pdf

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