Growth inequalities for quasimeromorphic mappings with applications

Xuxin Yang, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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}.

Original languageEnglish
Article number127691
JournalJournal of Mathematical Analysis and Applications
Volume530
Issue number2
DOIs
StatePublished - 15 Feb 2024

Keywords

  • Boundary behavior
  • Multiplicity
  • Picard-Schottky theorem
  • Quasimeromorphic mappings
  • Quasiregular mappings

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