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Composition Operators on Hardy-Morosov Theorem

Daniel Li author Hervé Queffélec author Pascal Lefevre author Luis Rodriguez-Piazza author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Aug '10

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Composition Operators on Hardy-Morosov Theorem cover

The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function \Psi grows rapidly: 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.

ISBN: 9780821846377

Dimensions: unknown

Weight: 456g

74 pages