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.
Citation
Petros Galanopoulos. Aristomenis G. Siskakis. "Hausdorff matrices and composition operators." Illinois J. Math. 45 (3) 757 - 773, Fall 2001. https://doi.org/10.1215/ijm/1258138149
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