Baker Domain for a transcendental skew-product

TL;DR

This paper constructs a Baker domain for a transcendental skew-product, demonstrating its existence through an absorbing domain established via plurisubharmonic methods, contributing to complex dynamics theory.

Contribution

It introduces a novel construction of a Baker domain in transcendental skew-products using plurisubharmonic techniques, expanding understanding of their dynamical properties.

Findings

Existence of a Baker domain in transcendental skew-products.

Construction of an absorbing domain using plurisubharmonic methods.

Advancement in complex dynamics understanding.

Abstract

In this note, we demonstrate the existence of a Baker domain of a transcendental skew-product by constructing a domain that is shown to be absorbing using plurisubharmonic method.