Equicontinuity and normality of mappings with integrally bounded $p$-moduli
Complex Variables
2013-09-10 v1
Abstract
We consider the generic discrete open mappings in under which the perturbation of extremal lengths of curve collections is controlled integrally via with , where is a measurable function on and for any on a given interval We proved that the family of all open discrete mappings of above type is normal under appropriate restrictions on the majorant
Cite
@article{arxiv.1309.1826,
title = {Equicontinuity and normality of mappings with integrally bounded $p$-moduli},
author = {Anatoly Golberg and Ruslan Salimov and Evgeny Sevost'yanov},
journal= {arXiv preprint arXiv:1309.1826},
year = {2013}
}