2019/05/15 by Evgeny Sevost’yanov, Sevost'yanov, Evgeny · 2 citations
Mathematics · #30C65 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1905.06414
openalex publication_date 2019/05/15 · openalex created_date 2019/05/29 · openalex updated_date 2026/07/28
In this article, we study mappings acting between domains of two factor spaces by certain groups of Möbius automorphisms of the unit ball that act discontinuously and do not have fixed points. For such mappings, we have established estimates for the distortion of the modulus of families of paths, which are similar to the well-known Poletsky and Väisälä inequalities. As applications, we have obtained several important results on the local and boundary behavior of mappings.