Counting functions for Dirichlet series and compactness of composition operators

TL;DR

This paper establishes a sufficient condition under which composition operators with positive characteristic are compact on the Hardy space of Dirichlet series, advancing understanding of operator behavior in this function space.

Contribution

It introduces a new criterion for compactness of composition operators with positive characteristic on Hardy spaces of Dirichlet series.

Findings

Provided a sufficient condition for compactness

Characterized composition operators with positive characteristic

Enhanced understanding of operator theory in Dirichlet spaces

Abstract

We give a sufficient condition for a composition operator with positive characteristic to be compact on the Hardy space of Dirichlet series.