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

A. Boggess; R. Dwilewicz; A. Nagel

doi:10.1090/S0002-9947-1991-1079050-X

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

A. Boggess, R. Dwilewicz, A. Nagel

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Abstract

We show that the hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type in C_n contains an open set in 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.

Original language	English (US)
Pages (from-to)	209-232
Number of pages	24
Journal	Transactions of the American Mathematical Society
Volume	323
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1991-1079050-X
State	Published - Jan 1991
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "We show that the hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type in Cn contains an open set in Cn 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.",

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AB - We show that the hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type in Cn contains an open set in Cn 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.

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

Abstract

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