Geodesic
Essential norms of weighted composition operators on the space ${\cal H}^{\infty}$ of Dirichlet series
Pascal Lefèvre 1
1 Faculté Jean Perrin Université d'Artois rue Jean Souvraz S.P. 18 62307 Lens Cedex, France
Studia Mathematica, Tome 191 (2009) no. 1, pp. 57-66 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm191-1-4
Keywords: estimate essential norm weighted composition operator relative class dunford pettis operators class weakly compact operators space cal infty dirichlet series particular cases obtain precise value generalized essential norm composition operator multiplication operator

Pascal Lefèvre  1

1 Faculté Jean Perrin Université d'Artois rue Jean Souvraz S.P. 18 62307 Lens Cedex, France 
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Pascal Lefèvre. Essential norms of weighted composition operators
 on the space ${\cal H}^{\infty}$ of Dirichlet series. Studia Mathematica, Tome 191 (2009) no. 1, pp. 57-66. doi: 10.4064/sm191-1-4

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