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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, 46E15, 40G05, 42A20 show english descriptions Operators on function spaces (general)
Banach spaces of continuous, differentiable or analytic functions
Cesaro, Euler, Norlund and Hausdorff methods
Convergence and absolute convergence of Fourier and trigonometric series
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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