Contractive inequalities between Dirichlet and Hardy spaces

Abstract

We prove a conjecture of Brevig, Ortega-Cerdà, Seip and Zhao about contractive inequalities between Dirichlet and Hardy spaces and discuss its consequent connection with the Riesz projection.

arXiv commentA new section about the extension of the main result to several variables and Dirichlet series has been added

References in corpus (1)

• Contractive inequalities for mixed norm spaces and the Beta function

Cited by in corpus (2)

• Point evaluation in Paley--Wiener spaces
• Critical exponents of the Riesz projection