Generalized Cesàro operators on certain function spaces
Sunanda Naik
Annales Polonici Mathematici, Tome 98 (2010), p. 189-199 / Harvested from The Polish Digital Mathematics Library
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Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators b,c is bounded on the Dirichlet spaces p,a. We also give a short and direct proof of boundedness of b,c on the Hardy space Hp for 1 < p < ∞.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281108 
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     year = {2010},
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Sunanda Naik. Generalized Cesàro operators on certain function spaces. Annales Polonici Mathematici, Tome 98 (2010) pp. 189-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-6/