Generalized Cesàro operators on certain function spaces

• Autorzy: Sunanda Naik
• Języki publikacji: EN

Abstrakty

EN

Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators $𝓟^{b,c}$ is bounded on the Dirichlet spaces $𝓓_{p,a}$. We also give a short and direct proof of boundedness of $𝓟^{b,c}$ on the Hardy space $H^p$ for 1 < p < ∞.

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 47B38: Operators on function spaces (general)
• 33C05: Classical hypergeometric functions, 2 F 1
• 30D60: Quasi-analytic and other classes of functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 2
• Strony: 189-199

Daty

wydano

2010

Twórcy

autor

Sunanda Naik

• Institute of Mathematics and Applications, Andharua, Bhubaneswar 751 003, India

Identyfikatory

DOI

10.4064/ap98-2-6