### 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) |
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Pages (from-to) | 209-232 |

Number of pages | 24 |

Journal | Transactions of the American Mathematical Society |

Volume | 323 |

Issue number | 1 |

DOIs | |

State | Published - 1991 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Boggess, A., Dwilewicz, R., & Nagel, A. (1991). The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type.

*Transactions of the American Mathematical Society*,*323*(1), 209-232. https://doi.org/10.1090/S0002-9947-1991-1079050-X