About one modulus inequality of the Väisälä Type

2012/04/17 by Evgeny Sevost’yanov, Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #30C62 #30C65 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.CV #msc:30C62 #msc:30C65

paper · pdf · doi:10.48550/arxiv.1204.3810

arXiv admin note: text overlap with arXiv:1204.1247

openalex publication_date 2012/04/17 · arxiv created 2012/07/11 · arxiv updated 2012/07/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The present paper is devoted to the study of space mappings, which are more general than quasiregular. The analogue of the known Väisälä inequality for the special types of curves was proved for the open, discrete, differentiable a.e. mappings having N, N^-1 and ACP^-1 properties.

Citations

• Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups
• The Poletskii and Väisälä inequalities for the mappings with (p, q)--distortion

Cited by

• The Poletskii and Väisälä inequalities for the mappings with (p, q)--distortion

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• On the lightness of the limit of sequence of mappings satisfying some modular inequality
• The maximum modulus set of a quasiregular map