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# Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions

Published:2006-06-01
Printed: Jun 2006
• P. Galanopoulos
• M. Papadimitrakis
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## Abstract

We consider Hausdorff and quasi-Hausdorff matrices as operators on classical spaces of analytic functions such as the Hardy and the Bergman spaces, the Dirichlet space, the Bloch spaces and $\BMOA$. When the generating sequence of the matrix is the moment sequence of a measure $\mu$, we find the conditions on $\mu$ which are equivalent to the boundedness of the matrix on the various spaces.
 MSC Classifications: 47B38 - Operators on function spaces (general) 46E15 - Banach spaces of continuous, differentiable or analytic functions 40G05 - Cesaro, Euler, Norlund and Hausdorff methods 42A20 - Convergence and absolute convergence of Fourier and trigonometric series

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