Bohr's absolute convergence problem for ${\mathcal{H}}_p$-Dirichlet series in Banach spaces

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

The Bohr-Bohnenblust-Hille Theorem states that the width of the strip in the complex plane on which an ordinary Dirichlet series ${\sum }_n{a}_n{n}^{-s}$ converges uniformly but not abs…