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Search: MSC category 42A20 ( Convergence and absolute convergence of Fourier and trigonometric series )

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1. CJM 2006 (vol 58 pp. 548)

Galanopoulos, P.; Papadimitrakis, M.
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

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