A generalized Schwarz–Pick inequality for quasiconformal mappings satisfying Poisson's equation

Deguang Zhong

doi:10.1216/rmj.2021.51.1133

Abstract

The main aim of this paper is to establish a generalized Schwarz–Pick inequality for quasiconformal mappings satisfying Poisson’s equation from unit disk onto a simply connected and bounded convex domain $Ω$ . In addition, some applications of this inequality were given.

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Deguang Zhong. "A generalized Schwarz–Pick inequality for quasiconformal mappings satisfying Poisson's equation." Rocky Mountain J. Math. 51 (3) 1133 - 1141, June 2021. https://doi.org/10.1216/rmj.2021.51.1133

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Received: 23 August 2020; Revised: 21 October 2020; Accepted: 28 October 2020; Published: June 2021

First available in Project Euclid: 11 August 2021

MathSciNet: MR4302571

zbMATH: 1475.30052

Digital Object Identifier: 10.1216/rmj.2021.51.1133

Subjects:

Primary: 30C62

Secondary: 31A30

Keywords: Poisson's equation , quasiconformality , Schwarz–Pick inequality

Abstract

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