Growth inequalities for quasimeromorphic mappings with applications

Xuxin Yang; Antti Rasila

doi:10.1016/j.jmaa.2023.127691

Growth inequalities for quasimeromorphic mappings with applications

Xuxin Yang, Antti Rasila^*

^*Corresponding author for this work

Mathematics with Computer Science

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

Abstract

We prove a version of the Picard-Schottky theorem involving the multiplicity for quasiregular in n-dimensional Euclidean space Rⁿ. We also study the boundary behavior of quasiregular mappings from the unit ball Bⁿ into a multiply punctured space Rⁿ∖{w₁,…,w_p−1}.

Original language	English
Article number	127691
Journal	Journal of Mathematical Analysis and Applications
Volume	530
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2023.127691
State	Published - 15 Feb 2024

Keywords

Boundary behavior
Multiplicity
Picard-Schottky theorem
Quasimeromorphic mappings
Quasiregular mappings

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10.1016/j.jmaa.2023.127691

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title = "Growth inequalities for quasimeromorphic mappings with applications",

abstract = "We prove a version of the Picard-Schottky theorem involving the multiplicity for quasiregular in n-dimensional Euclidean space Rn. We also study the boundary behavior of quasiregular mappings from the unit ball Bn into a multiply punctured space Rn∖{w1,…,wp−1}.",

keywords = "Boundary behavior, Multiplicity, Picard-Schottky theorem, Quasimeromorphic mappings, Quasiregular mappings",

author = "Xuxin Yang and Antti Rasila",

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AU - Rasila, Antti

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AB - We prove a version of the Picard-Schottky theorem involving the multiplicity for quasiregular in n-dimensional Euclidean space Rn. We also study the boundary behavior of quasiregular mappings from the unit ball Bn into a multiply punctured space Rn∖{w1,…,wp−1}.

KW - Boundary behavior

KW - Multiplicity

KW - Picard-Schottky theorem

KW - Quasimeromorphic mappings

KW - Quasiregular mappings

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M3 - 文章

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SN - 0022-247X

VL - 530

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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ER -

Growth inequalities for quasimeromorphic mappings with applications

Abstract

Keywords

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