Composition Operators on Hardy-Morosov Theorem

Pascal Lefevre, Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza (Autoren)

Buch | Softcover

74 Seiten

2010
American Mathematical Society (Verlag)
978-0-8218-4637-7 (ISBN)

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Investigates 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.

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.

Erscheint lt. Verlag	1.9.2010
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	456 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-8218-4637-X / 082184637X
ISBN-13	978-0-8218-4637-7 / 9780821846377
Zustand	Neuware