Composition Operators on Hardy-Orlicz Spaces (Memoirs of the American Mathematical Society) - Softcover

Lefevre, Pascal; Li, Daniel; Queffelec, Herve; Rodriguez-piazza, Luis

 
9780821846377: Composition Operators on Hardy-Orlicz Spaces (Memoirs of the American Mathematical Society)

Synopsis

The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows compactness, weak compactness, to be p-summing, order bounded, ldots, and show how these notions behave according to the growth of Psi. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces.

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