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Composition Operators on Hardy-Orlicz Spaces

Pascal Lefèvre Université d’Artois, Lens, France
Daniel Li Université d’Artois, Lens, France
Hervé Queffélec Université des Sciences et Technologies de Lille, Villeneuve d’Ascq, France
Luis Rodríguez-Piazza Universidad de Sevilla, Sevilla, Spain
Available Formats:
Electronic ISBN: 978-1-4704-0588-5
Product Code: MEMO/207/974.E
74 pp
List Price: $68.00 MAA Member Price:$61.20
AMS Member Price: $40.80 Click above image for expanded view Composition Operators on Hardy-Orlicz Spaces Pascal Lefèvre Université d’Artois, Lens, France Daniel Li Université d’Artois, Lens, France Hervé Queffélec Université des Sciences et Technologies de Lille, Villeneuve d’Ascq, France Luis Rodríguez-Piazza Universidad de Sevilla, Sevilla, Spain Available Formats:  Electronic ISBN: 978-1-4704-0588-5 Product Code: MEMO/207/974.E 74 pp  List Price:$68.00 MAA Member Price: $61.20 AMS Member Price:$40.80
• Book Details

Memoirs of the American Mathematical Society
Volume: 2072010
MSC: Primary 47; 46;

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.

• Chapters
• 1. Introduction
• 2. Notation
• 3. Composition operators on Hardy-Orlicz spaces
• 4. Carleson measures
• 5. Bergman spaces
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Volume: 2072010
MSC: Primary 47; 46;

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.

• Chapters
• 1. Introduction
• 2. Notation
• 3. Composition operators on Hardy-Orlicz spaces
• 4. Carleson measures
• 5. Bergman spaces
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