Heinz type inequalities for mappings satisfying Poisson's equation

DOI10.1016/J.INDAG.2018.08.006zbMath1406.35110OpenAlexW2889928165MaRDI QIDQ1629124

Deguang Zhong, Hongqiang Tu

Publication date: 11 December 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.08.006

zbMATH Keywords

Poisson equationquasiconformal mappingsharmonic mappingsHeinz type inequalities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations

Cites Work

• On one-to-one harmonic mappings
• Quasiconformality of harmonic extensions
• Heinz type inequalities for Poisson integrals
• Notions of convexity
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