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

Albert Boggess, R. Dwilewicz, A. Nagel

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)209-232
Number of pages24
JournalTransactions of the American Mathematical Society
Volume323
Issue number1
DOIs
StatePublished - 1991
Externally publishedYes

Fingerprint

Real Hypersurfaces
Finite Type
Ball
Plurisubharmonic Function
Maximal Function
Boundary Value
Open set
Hypersurface
Minor
Analytic function
Directly proportional
Estimate

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type. / Boggess, Albert; Dwilewicz, R.; Nagel, A.

In: Transactions of the American Mathematical Society, Vol. 323, No. 1, 1991, p. 209-232.

Research output: Contribution to journalArticle

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