Ahlfors theorems for differential forms

TL;DR

This paper extends classical theorems like Phragmén-Lindelöf and Ahlfors to the setting of differential forms within the ${\cal WT}$-classes, broadening their applicability in complex analysis.

Contribution

It introduces new versions of Ahlfors-type theorems for differential forms in the ${\cal WT}$-classes, expanding the theoretical framework.

Findings

Proved Ahlfors-type theorems for differential forms.

Established counterparts of Phragmén-Lindelöf theorems.

Extended classical results to ${\cal WT}$-classes.

Abstract

Some counterparts of theorems of Phragm\'en-Lindel\"of and of Ahlfors are proved for differential forms of ${\cal WT}$--classes.}