Geometric versions of Schwarz's lemma and symmetrization
type: Item
instance of: scholarly article
title: Geometric versions of Schwarz's lemma and symmetrization
zbMATH Open document ID: 1304.30035
author: V. N. Dubinin
published in: Journal of Mathematical Sciences (New York)
publication date: 2014-12-02T00:00:00Z
review text: This is a survey paper discussing the relationships between the classical Schwarz lemma (in its geometrical formulation) and different symmetrization principles in complex analysis introduced recently by V. Dubinin and other authors. For some results (including those obtained by V. Dubinin) new simplified proofs of classical nature are proposed.
Mathematics Subject Classification ID: 30C80
Mathematics Subject Classification ID: 30C85
Mathematics Subject Classification ID: 31A15
zbMATH DE Number: 6375802
zbMATH Keywords: Schwarz's lemma
zbMATH Keywords: symmetrization principle
reviewed by: Sergei V. Rogosin
MaRDI profile type: Publication
full work available at URL: s10958-011-0542-0
OpenAlex ID: W2133518922
Wikidata QID: Q124856736
cites work: Q3444758
cites work: Q5527180
cites work: Julius and Julia: Mastering the Art of the Schwarz Lemma
cites work: Area, capacity and diameter versions of Schwarz’s Lemma
cites work: Symmetrization in the geometric theory of functions of a complex variable
cites work: Hyperbolic transfinite diameter and some theorems on analytic functions in an annulus
cites work: Some inequalities for the capacity of plane condensers
cites work: Geometric versions of Schwarz’s lemma for quasiregular mappings
cites work: Q3947877
cites work: Q5527188
cites work: Q5552274
cites work: Length and area estimates for analytic functions
cites work: Transformations of domains in the plane and applications in the theory of functions
cites work: Q5800929
cites work: A Schwarz lemma for meromorphic functions and estimates for the hyperbolic metric
cites work: Q4700570
cites work: Q3291667
cites work: Q3795938
cites work: Q3261537
DOI: 10.1007/S10958-011-0542-0
description: scientific article; zbMATH DE number 6375802