# Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

## TL;DR

This paper generalizes sharp inequalities for derivatives of Bergman space functions on the unit disk, extending previous results and exploring connections with Fock space analogs.

## Contribution

It introduces a generalized inequality for derivatives of Bergman space functions with respect to two measures, broadening the scope of earlier work.

## Key findings

- Generalized inequality for derivatives in Bergman spaces
- Connections established with Fock space analogs
- Potential applications in complex analysis and operator theory

## Abstract

In a recent paper, Ramos and Tilli proved certain sharp inequality for analytic functions in subdomains of the unit disk. We will generalize their main inequality for derivatives of functions from Bergman space with respect to two diferent measures. Some connections with an analog for the Fock spaces, earlier investigated in Kalaj, will also be discussed.