## Illinois Journal of Mathematics

### Hausdorff matrices and composition operators

#### Abstract

We consider Hausdorff matrices as operators on Hardy spaces of analytic functions. When the generating sequence of the matrix is the moment sequence of a measure $\mu$, we find conditions on $\mu$ such that the matrix represents a bounded operator. The results unify and extend some known special cases of operators on Hardy spaces such as the Cesàro and generalized Cesàro operators.

#### Article information

Source
Illinois J. Math., Volume 45, Number 3 (2001), 757-773.

Dates
First available in Project Euclid: 13 November 2009

https://projecteuclid.org/euclid.ijm/1258138149

Digital Object Identifier
doi:10.1215/ijm/1258138149

Mathematical Reviews number (MathSciNet)
MR1879233

Zentralblatt MATH identifier
0994.47026

#### Citation

Galanopoulos, Petros; Siskakis, Aristomenis G. Hausdorff matrices and composition operators. Illinois J. Math. 45 (2001), no. 3, 757--773. doi:10.1215/ijm/1258138149. https://projecteuclid.org/euclid.ijm/1258138149