Essential norms of weighted composition operators on the space ℋ∞ of Dirichlet series
Pascal Lefèvre
Studia Mathematica, Tome 192 (2009), p. 57-66 / Harvested from The Polish Digital Mathematics Library
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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 ℋ∞ 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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284715 
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     title = {Essential norms of weighted composition operators on the space $H^{[?]}$ of Dirichlet series},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {57-66},
     zbl = {1221.30010},
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Pascal Lefèvre. Essential norms of weighted composition operators on the space $ℋ^{∞}$ of Dirichlet series. Studia Mathematica, Tome 192 (2009) pp. 57-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-1-4/