Boundedness of generalized Cesàro averaging operators on certain function spaces

DOI10.1016/j.cam.2004.11.004zbMath1080.30032OpenAlexW2009184796MaRDI QIDQ556264

Saminathan Ponnusamy, Phil G. Howlett, Manju Rani Agrawal, Swatee Naik, Stephen Lucas

Publication date: 13 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.004

zbMATH Keywords

Hardy spaceshypergeometric functionBMOABlochCesàro averaging

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Linear operators on function spaces (general) (47B38) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

Adjoint of generalized Cesáro operators on analytic function spaces ⋮ Certain multiplier results on \(B^p\) spaces ⋮ A generalization of the Bohr inequality and its applications ⋮ Properties of \(\beta\)-Cesàro operators on \(\alpha\)-Bloch space ⋮ Bohr inequalities for certain integral operators ⋮ Unnamed Item ⋮ Generalized Cesáro operator on BMOA space ⋮ Geometric properties of Cesàro averaging operators ⋮ A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\mathcal A}^{b,c}$ ON WEIGHTED BERGMAN SPACES ⋮ The Bohr inequality for the generalized Cesáro averaging operators

Cites Work

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• Some properties of fractional integrals. II
• THE CESÀRO OPERATOR ON BOUNDED ANALYTIC FUNCTIONS
• The Cesaro Operator is Bounded on H p for 0 < p < 1
• Cesàro averaging operators
• Asymptotic expansions and inequalities for hypergeometric function
• Univalence of alexander transform under new mapping properties
• The Cesaro Operator is Bounded on H 1

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