Holomorphicqu asiregular mappings

E. A. Poletsky

doi:10.1090/S0002-9939-1985-0801330-3

Holomorphicqu asiregular mappings

E. A. Poletsky

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

7 Scopus citations

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)
Pages (from-to)	235-241
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	95
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1985-0801330-3
State	Published - Oct 1985
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1985-0801330-3

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title = "Holomorphicqu asiregular mappings",

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.",

author = "Poletsky, {E. A.}",

year = "1985",

month = oct,

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AU - Poletsky, E. A.

PY - 1985/10

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N2 - 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.

AB - 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.

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DO - 10.1090/S0002-9939-1985-0801330-3

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SP - 235

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JO - Proceedings of the American Mathematical Society

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ER -

Holomorphicqu asiregular mappings

Abstract

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