Random Dirichlet Functions: Multipliers and Smoothness
Random Dirichlet Functions: Multipliers and Smoothness
Abstract We show that if is a holomorphic function in the Dirichlet space of the unit disk, then almost all of its randomizations are multipliers of that space. This parallels a known result for lacunary power series, which also has a version for smoothness classes: every lacunary Dirichlet series lies …