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

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9947-1991-1079050-X

Cite this

@article{c318246b086b4a5b967d66d00226ff73,

title = "The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type",

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.",

author = "A. Boggess and R. Dwilewicz and A. Nagel",

year = "1991",

month = jan,

doi = "10.1090/S0002-9947-1991-1079050-X",

language = "English (US)",

volume = "323",

pages = "209--232",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type

AU - Boggess, A.

AU - Dwilewicz, R.

AU - Nagel, A.

PY - 1991/1

Y1 - 1991/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84966261155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966261155&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1991-1079050-X

DO - 10.1090/S0002-9947-1991-1079050-X

M3 - Article

AN - SCOPUS:84966261155

SN - 0002-9947

VL - 323

SP - 209

EP - 232

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 1

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this