Cyclicity in weighted Bergman type spaces

TL;DR

This paper investigates the cyclicity of a specific inner function in weighted Bergman spaces using the resolvent transform method, contributing to the understanding of function behavior in these spaces.

Contribution

It introduces the application of the resolvent transform method to analyze cyclicity of singular inner functions in weighted Bergman spaces, a novel approach in this context.

Findings

Identifies conditions for cyclicity of the singular inner function.

Demonstrates the effectiveness of the resolvent transform method in this analysis.

Abstract

We use the so called resolvent transform method to study the cyclicity of the one point mass singular inner function in weighted Bergman type spaces.