Theory of Np spaces
This monograph provides a comprehensive study of a typical and novel function space, known as the Np spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operator...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Cham
Birkhäuser
2023
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| Schriftenreihe: | Frontiers in mathematics
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| Schlagworte: | |
| Online Zugang: | zbMATH |
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Tag hinzufügen | Zusammenfassung: | This monograph provides a comprehensive study of a typical and novel function space, known as the Np spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operators on these spaces. The book covers a significant portion of the recent research on these spaces, making it an invaluable resource for those delving into this rapidly developing area. The authors introduce various weighted spaces, including the classical Hardy space H2, Bergman space B2, and Dirichlet space D. By offering generalized definitions for these spaces, readers are equipped to explore further classes of Banach spaces such as Bloch spaces Bp and Bergman-type spaces Ap. Additionally, the authors extend their analysis beyond the open unit disk D and open unit ball B by presenting families of entire functions in the complex plane C and in higher dimensions. The Theory of Np Spaces is an ideal resource for researchers and PhD students studying spaces of analytic functions and operators within these spaces. |
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| Beschreibung: | xi, 258 Seiten |
| ISBN: | 9783031397035 978-3-031-39703-5 |