Estimates for Jacobian and dilatation coefficients of open discrete mappings with controlled \(p\)-module

DOI10.1007/s11785-016-0628-2zbMath1380.30017OpenAlexW2564112979MaRDI QIDQ1683597

Anatoly Golberg, Evgeny Aleksandrovich Sevost'yanov, Ruslan Radikovich Salimov

Publication date: 1 December 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0628-2

zbMATH Keywords

mappings of finite distortionbilipschitz mappings\(p\)-inner and \(p\)-outer dilatations\(p\)-module of families of curvesring \((p, Q)\)-mappingsweighted \(p\)-module

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (10)

The local behaviour of open, light mappings satisfying generalized modular inequalities ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ On distortions of the transfinite diameter of disk image ⋮ On power-law behavior of some mapping class at infinity ⋮ On isolated singularities of mappings with finite length distortion ⋮ On the behavior of one class of homeomorphisms at infinity ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On the distortion of the disk image diameter ⋮ Cluster sets theorems on metric measure spaces ⋮ On Poleckii-type modular inequalities

Cites Work

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• The theory of shell-based $ Q$-mappings in geometric function theory
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