Linear measure and $K$-quasiconformal harmonic mappings
Shaolin Chen, Gang Liu, and Saminathan Ponnusamy
TL;DR
This paper explores the connection between linear measure and harmonic mappings, providing insights into their mathematical properties and potential applications in complex analysis.
Contribution
It introduces new relationships between linear measure and harmonic mappings, advancing understanding in the field of geometric function theory.
Findings
Established bounds for linear measure in harmonic mappings
Identified conditions for quasiconformality in harmonic mappings
Extended classical results to broader classes of harmonic functions
Abstract
In this paper, we investigate the relationships between linear measure and harmonic mappings.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Geometric Analysis and Curvature Flows