1. CJM 2006 (vol 58 pp. 548)
|Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions |
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.
Categories:47B38, 46E15, 40G05, 42A20