Equicontinuity by the prime ends of mappings with the normalization condition

Autor:	Sevost'yanov, E. A., Ilkevych, N. S.
Rok vydání:	2020
Předmět:	Mathematics - Complex Variables 30C65
Druh dokumentu:	Working Paper
Popis:	We study branching mappings that satisfy some condition of distortion of the modulus of families of paths. In a situation where the definition domain of mappings is locally connected on its boundary, the mapped domain is regular, and the majorant responsible for distortion of the modulus of families of paths is integrable, it is proved that the families of all specified mappings with one normalization condition are equicontinuous in the closure of the given domain. Comment: in Ukrainian
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.04801 Zobrazit plný text záznamu View this record from Arxiv