Fourier multipliers for Hardy spaces of Dirichlet series
  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. 
Alexandru Aleman, Jan-Fredrik Olsen and Eero Saksman
math.CV math.FA