Essential norms of weighted composition operators on the space ${\cal H}^{\infty}$ of Dirichlet series
Volume 191 / 2009
Studia Mathematica 191 (2009), 57-66
MSC: 30B50, 46E15, 47B10, 47B33.
DOI: 10.4064/sm191-1-4
Abstract
We estimate the essential norm of a weighted composition operator relative to the class of Dunford–Pettis operators or the class of weakly compact operators, on the space ${\cal H}^\infty $ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
