Weighted Yosida Mappings of Several Complex Variables
Nikhil Bharti, Nguyen Van Thin

TL;DR
This paper introduces weighted Yosida mappings for holomorphic functions from complex Euclidean spaces to complete Hermitian manifolds, providing criteria for identifying such mappings based on boundedness conditions involving the metric and a weight function.
Contribution
It defines weighted Yosida mappings in several complex variables and establishes new criteria to characterize these mappings, extending the classical concept to a broader geometric setting.
Findings
Criteria for holomorphic mappings to be weighted Yosida mappings.
Conditions involving the weight function and metric boundedness.
Extension of Yosida mappings concept to complex manifolds.
Abstract
Let be a complete complex Hermitian manifold with metric and let be positive function such that for some and A holomorphic mapping is said to be a weighted Yosida mapping if for any with the quantity remains bounded above, where is the map from to induced by We present several criteria of holomorphic mappings belonging to the class of all weighted Yosida mappings.
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Taxonomy
TopicsMeromorphic and Entire Functions · Fixed Point Theorems Analysis · Analytic and geometric function theory
