 |
|
Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions |
Canad. J. Math. 58(2006), 548-579
Published:2006-06-01
Printed: Jun 2006
Printed: Jun 2006
- P. Galanopoulos
- M. Papadimitrakis
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 |