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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
Front Cover for Composition Operators on Hardy-Orlicz Spaces
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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
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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
  • 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.

  • Table of Contents
     
     
    • 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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