Estimates for vector valued Dirichlet polynomials

A. Defant, Ursula Schwarting, Sevilla Peris Pablo

2014

Monatshefte für Mathematik

We estimate the -norm of finite Dirichlet polynomials with coefficients in a Banach space. Our estimates quantify several recent results on Bohr's strips of uniform but non absolute convergence of Dirichlet series in Banach spaces.