### Abstract

Holomorphic quasiregular mappings in bounded domains in C" are studied. It is shown that the growth of the Jacobian of these mappings depends on the behavior of the boundary of a domain. In particular, the Jacobian is bounded when the boundary is smooth. Some applications to the theory of quasiregular mappings between Hermitian manifolds are given.

Original language | English (US) |
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Pages (from-to) | 235-241 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 95 |

Issue number | 2 |

DOIs | |

State | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics