Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions

DOI10.4153/CJM-2006-023-5zbMath1105.47029MaRDI QIDQ5480070

Petros Galanopoulos, Michael Papadimitrakis

Publication date: 25 July 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bergman spacesHardy spacesbounded operatorsanalytic functionsHausdorff matrices

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Linear operators on function spaces (general) (47B38) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (13)

Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ New classes of function spaces and singular operators ⋮ Hardy-Littlewood and Pitt's inequalities for Hausdorff operators ⋮ Hardy spaces in Reinhardt domains, and Hausdorff operators ⋮ Generalized Hausdorff operator on Bergmann spaces ⋮ Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions on \(\mathbb{D} \) ⋮ A class of Hausdorff-Berezin operators on the unit disc ⋮ Hausdorff operators on holomorphic Hardy spaces and applications ⋮ Multilinear fractional Hausdorff operators ⋮ Hausdorff operators on some spaces of holomorphic functions on the unit disc ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces

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