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Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions

Published online by Cambridge University Press:  20 November 2018

P. Galanopoulos  and
M. Papadimitrakis
P. Galanopoulos
Affiliation:
Department of Mathematics, University of Crete, 71409 Heraklion, Greece e-mail: papadim@math.uoc.gr
M. Papadimitrakis
Affiliation:
Department of Mathematics, University of Crete, 71409 Heraklion, Greece e-mail: papadim@math.uoc.gr
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Abstract

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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 $\text{BMOA}$. 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.

Keywords

Primary; 47B38secondary; 46E1540G0542A20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 58 , Issue 3 , 01 June 2006 , pp. 548 - 579
Copyright
Copyright © Canadian Mathematical Society 2006

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