# Weighted composition operators between different Fock spaces

## TL;DR

This paper investigates weighted composition operators between Fock spaces, providing criteria for boundedness, compactness, and detailed topological descriptions of operator spaces.

## Contribution

It offers new characterizations of boundedness, compactness, and the structure of the space of weighted composition operators between Fock spaces.

## Key findings

- Criteria for boundedness and compactness established
- Characterizations of compact differences and essential norm provided
- Descriptions of connected components and isolated points in operator spaces included

## Abstract

We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.