English

Fourier multipliers for Hardy spaces of Dirichlet series

Complex Variables 2012-10-17 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1210.4292,
  title  = {Fourier multipliers for Hardy spaces of Dirichlet series},
  author = {Alexandru Aleman and Jan-Fredrik Olsen and Eero Saksman},
  journal= {arXiv preprint arXiv:1210.4292},
  year   = {2012}
}

Comments

9 pages