Fourier Multipliers for Hardy Spaces of Dirichlet Series

By Alexandru Aleman, Jan-Fredrik Olsen, Eero Saksman. 2012

65 citations recorded by the source corpus.

We obtain new results on Fourier multipliers for Dirichlet-Hardy spaces. As a consequence, we establish a Littlewood-Paley inequality, and we give a simple proof that the Dirichlet monomials form a Schauder basis for p>1.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/2033e3da44c825cdf2eda834b21fc875ce1f1d5a

Citations in the corpus

• Approximation numbers of composition operators on $H^p$ spaces of Dirichlet series (2014, unknown): “220]) in the framework of ordered groups and then reproved in a more concrete way in the context of H -spaces by Aleman, Olsen, and Saksman [1].”