Hausdorff matrices and composition operators
Galanopoulos, Petros ; Siskakis, Aristomenis G.
Illinois J. Math., Volume 45 (2001) no. 4, p. 757-773 / Harvested from Project Euclid
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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.
Published online : 2001-07-15
Classification:  47B33,  30D55,  40G05,  46E15,  47A57 
@article{1258138149,
     author = {Galanopoulos, Petros and Siskakis, Aristomenis G.},
     title = {Hausdorff matrices and composition operators},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 757-773},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138149}
}

Galanopoulos, Petros; Siskakis, Aristomenis G. Hausdorff matrices and composition operators. Illinois J. Math., Volume 45 (2001) no. 4, pp.  757-773. http://gdmltest.u-ga.fr/item/1258138149/