Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem
Sh. Chen, S. Ponnusamy, and X. Wang
TL;DR
This paper explores geometric properties and univalence criteria of pluriharmonic mappings in the unit ball, establishing a Landau-Bloch theorem for a specific class of these mappings.
Contribution
It introduces new geometric univalence criteria and proves a Landau-Bloch theorem for pluriharmonic mappings, advancing understanding of their properties.
Findings
Established geometric univalence criteria for pluriharmonic mappings
Proved a Landau-Bloch theorem for a class of pluriharmonic mappings
Enhanced understanding of the geometric properties of pluriharmonic functions
Abstract
In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. First, we discuss some geometric univalence criteria on pluriharmonic mappings, and then establish a Landau-Bloch theorem for a class of pluriharmonic mappings.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Geometry and complex manifolds