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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
Composition Operators on Hardy-Orlicz Spaces
eBook ISBN:  978-1-4704-0588-5
Product Code:  MEMO/207/974.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
Composition Operators on Hardy-Orlicz Spaces
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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
eBook ISBN:  978-1-4704-0588-5
Product Code:  MEMO/207/974.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2072010; 74 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2072010; 74 pp
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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