Bloch and Landau type theorems for pluriharmonic mappings
Ming-Sheng Liu, Saminathan Ponnusamy
TL;DR
This paper develops new Landau-type theorems for pluriharmonic mappings with bounded distortion and uses them to improve Bloch-type theorems, advancing understanding of these mappings in complex analysis.
Contribution
Introduces two new Landau-type theorems for pluriharmonic mappings and derives improved Bloch-type theorems based on these results.
Findings
New Landau-type theorems for pluriharmonic mappings
Enhanced Bloch-type theorems for pluriharmonic mappings
Improved bounds compared to previous results
Abstract
In this paper, we establish two new versions of Landau-type theorems for pluriharmonic mappings with a bounded distortion. Then using these results, we derive three Bloch-type theorems of pluriharmonic mappings, which improve the corresponding results of Chen and Gauthier.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Homotopy and Cohomology in Algebraic Topology