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

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