### 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 | |

State | Published - 1991 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Transactions of the American Mathematical Society*,

*323*(1), 209-232. https://doi.org/10.1090/S0002-9947-1991-1079050-X

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

Research output: Contribution to journal › Article

*Transactions of the American Mathematical Society*, vol. 323, no. 1, pp. 209-232. https://doi.org/10.1090/S0002-9947-1991-1079050-X

}

TY - JOUR

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

AU - Boggess, Albert

AU - Dwilewicz, R.

AU - Nagel, A.

PY - 1991

Y1 - 1991

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

VL - 323

SP - 209

EP - 232

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 1

ER -