Cluster sets theorems on metric measure spaces

Cluster sets theorems on metric measure spaces

We generalize some theorems of Tsuji and Iversen concerning cluster sets of plane holomorphic mappings to the class of open, light mappings between metric measure spaces and satisfying generalized modular inequalities. We also generalize in this class some results of Vuorinen concerning asymptotic v...

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Veröffentlicht in:Analysis and mathematical physics 2022-12, Vol.12 (6), Article 139
1. Verfasser: Cristea, Mihai
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Clusters
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Theorems
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Beschreibung
Zusammenfassung:We generalize some theorems of Tsuji and Iversen concerning cluster sets of plane holomorphic mappings to the class of open, light mappings between metric measure spaces and satisfying generalized modular inequalities. We also generalize in this class some results of Vuorinen concerning asymptotic values and extension of continuity for quasiregular mappings.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-022-00739-w