Geodesic
Generalized Cesàro operators on certain function spaces
Sunanda Naik1
1 Institute of Mathematics and Applications Andharua Bhubaneswar 751 003, India
Annales Polonici Mathematici, Tome 98 (2010) no. 2, pp. 189-199.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators ${\cal P}^{b, c}$ is bounded on the Dirichlet spaces ${\cal D}_{p, a}$. We also give a short and direct proof of boundedness of ${\cal P}^{b, c}$ on the Hardy space $H^p$ for $1 p \infty$.
DOI : 10.4064/ap98-2-6
Keywords: motivated recent results stevi paper prove two parameter family ces averaging operators cal bounded dirichlet spaces cal short direct proof boundedness cal hardy space infty

Sunanda Naik 1

1 Institute of Mathematics and Applications Andharua Bhubaneswar 751 003, India 
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Sunanda Naik. Generalized Cesàro operators on certain function spaces. Annales Polonici Mathematici, Tome 98 (2010) no. 2, pp. 189-199. doi : 10.4064/ap98-2-6. http://geodesic.mathdoc.fr/articles/10.4064/ap98-2-6/

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