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The theorems of Liouville, Picard, and Sokhotskii for ring mappings

Zhytomyr State University Library

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Поле Співвідношення
 
Relation http://eprints.zu.edu.ua/13853/
 
Title The theorems of Liouville,
Picard, and Sokhotskii for ring mappings
 
Creator Sevost’yanov, Е. А.
 
Subject Mathematical Analysis
 
Description It is proved that an isolated singularity x0 2 D of the
open discrete ring Q-mapping f : D \ {x0} ! Rn is removable provided
that a function Q(x) has finite mean oscillation at x0, or has logarithmic
singularities of the order, not greater than n − 1 at x0. Moreover, the
extended mapping is open and discrete. As applications, we got the
analogs of the well-known theorems of Liouville, Picard, and Sokhotskii.
 
Date 2008
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13853/1/UMB_2.pdf
Sevost’yanov, Е. А. (2008) The theorems of Liouville, Picard, and Sokhotskii for ring mappings. Ukrainian Mathematical Bulletin, 5 (3). pp. 361-375.