An embedding constant for the Hardy space of Dirichlet series

Abstract

A new and simple proof of the embedding of the Hardy--Hilbert space of Dirichlet series into a conformally invariant Hardy space of the half-plane is presented, and the optimal constant of the embedding is computed.

This note has been accepted for publication in Proceedings of the AMS

References in corpus (1)

• On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate

Cited by in corpus (1)

• Sharp norm estimates for composition operators and Hilbert-type inequalities