Composition Operators on Hardy-Orlicz Spaces.
- 1st ed.
- 1 online resource (87 pages)
- Memoirs of the American Mathematical Society ; v.207 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Notation -- 1. Growth conditions -- 2. Some specific functions -- Chapter 3. Composition operators on Hardy-Orlicz spaces -- 1. Hardy-Orlicz spaces -- 2. Preliminary results -- 3. Composition operators -- 4. Order bounded composition operators -- 5. Weakly compact composition operators -- 6. p-summing operators -- Chapter 4. Carleson measures -- 1. Introduction -- 2. Compactness on H versus compactness on H2 -- 3. General measures -- 4. Characterization of the compactness of composition operators -- Chapter 5. Bergman spaces -- 1. Bergman-Orlicz spaces -- 2. Compact composition operators on Bergman-Orlicz spaces -- Acknowledgement -- References.