Quasi-normal families of meromorphic mappings sharing hypersurfaces

TL;DR

This paper establishes new criteria for quasi-normality and normality of families of meromorphic mappings in higher dimensions, based on shared moving hypersurfaces, advancing understanding of their convergence properties.

Contribution

It introduces sufficient conditions for quasi-normality and normality of meromorphic mappings sharing moving hypersurfaces in higher dimensions, extending previous results.

Findings

Provides a criterion for quasi-normality in higher dimensions.

Establishes a normality criterion for families sharing moving hypersurfaces.

Advances the theory of meromorphic mappings and their convergence behavior.

Abstract

In this article we prove a sufficient condition of quasi-normality in higher dimension for a family of meromorphic mappings in which each pair of functions of family shares some moving hypersurfaces. We also prove a normality criterion concerning shared moving hypersurfaces.