Composition Operators on Hardy-Orlicz Spaces

(Memoirs of the American Mathematical Society)

5c0cddb475e7c.jpg Author Daniel Li, Herve Queffelec, and Pascal Lefevre
Isbn 9780821846377
File size 702.63KB
Year 2010
Pages 74
Language English
File format PDF
Category Mathematics

Book Description:

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.

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