On meromorphic functions whose image has finite spherical area

Oleg Ivrii

doi:10.4064/sm220618-19-3

On meromorphic functions whose image has finite spherical area

Oleg Ivrii^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We study meromorphic functions on a domain Ω ⊂ C whose image has finite spherical area, counted with multiplicity. The paper is composed of two parts. In the first part, we show that the limit of a sequence of meromorphic functions is naturally defined on Ω union a tree of spheres. In the second part, we show that a set E ⊂ Ω is removable if and only if it is negligible for extremal distance.

Original language	English
Pages (from-to)	121-137
Number of pages	17
Journal	Studia Mathematica
Volume	272
Issue number	2
DOIs	https://doi.org/10.4064/sm220618-19-3
State	Published - 2023

Keywords

NED set
bubbling
spherical Dirichlet function

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On meromorphic functions whose image has finite spherical area

Abstract

Keywords

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