Geodesic
Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions
Canadian journal of mathematics, Tome 58 (2006) no. 3, pp. 548-579

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\text{BMOA}$ . 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.
DOI : 10.4153/CJM-2006-023-5
Mots-clés : Primary; 47B38, secondary; 46E15, 40G05, 42A20 
Galanopoulos, P.; Papadimitrakis, M. Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions. Canadian journal of mathematics, Tome 58 (2006) no. 3, pp. 548-579. doi: 10.4153/CJM-2006-023-5
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