Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series

Daniel Carando, Andreas Defant, Felipe Marceca +2

For a general Dirichlet series $\sum a_n{e}^{-{\lambda }_{n}s}$ with frequency $\lambda =({\lambda }_n{)}_n$, we study how horizontal translation (i.e. convolution with a Poisson kernel) improves its integrabi…