Theory of NP Spaces
Khoi, Le Hai, Mashreghi, Javad
ISBN 10: 3031397037 ISBN 13: 9783031397035
Verlag: Birkhauser, 2023
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Beschreibung
Beschreibung:
2023. 2023 ed. paperback. . . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783031397035
Inhaltsangabe:
This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ 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 $H^2$, Bergman space $B^2$, and Dirichlet space $\mathcal{D}$. By offering generalized definitions for these spaces, readers are equipped to explore further classes of Banach spaces such as Bloch spaces $\mathcal{B}^p$ and Bergman-type spaces $A^p$. Additionally, the authors extend their analysis beyond the open unit disk $\mathbb{D}$ and open unit ball $\mathbb{B}$ by presenting families of entire functions in the complex plane $\mathbb{C}$ and in higher dimensions. The Theory of $\mathcal{N}_p$ Spaces is an ideal resource for researchers and PhD students studying spaces of analytic functions and operators within these spaces.
Über die Autorin bzw. den Autor:
Javad Mashreghi is an esteemed mathematician and author renowned for his work in the areas of functional analysis, operator theory, and complex analysis. He has made significant contributions to the study of analytic function spaces and the operators that act upon them. Prof. Mashreghi has held various prestigious positions throughout his career. He served as the 35th President of the Canadian Mathematical Society (CMS) and has been recognized as a Lifetime Fellow of both CMS and the Fields Institute. He currently holds the Canada Research Chair at Université Laval and has also been honored as a Fulbright Research Chair at Vanderbilt University.
Le Hai Khoi is an expert in the fields of function spaces and operator theory, with a particular focus on the representation of functions using series expansions involving exponential functions, rational functions, and Dirichlet series. He has made significant contributions to these areas and has a prolific research output, having published over 80 research papers in the relevant field. Prof. Le Hai Khoi is well-known for his expertise and active involvement in the study of $\mathcal{N}_p$ spaces, which are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball.
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Bibliografische Details
Titel: Theory of NP Spaces
Verlag: Birkhauser
Erscheinungsdatum: 2023
Einband: Softcover
Zustand: New
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Theory of Np Spaces
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Taschenbuch. Zustand: Neu. Theory of Np Spaces | Le Hai Khoi (u. a.) | Taschenbuch | xi | Englisch | 2023 | Birkhäuser | EAN 9783031397035 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 127200660
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Theory of Np Spaces
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Springer Nature Switzerland, 2023
ISBN 10: 3031397037
ISBN 13: 9783031397035
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph provides a comprehensive study of a typical and novel function space, known as the $mathcal{N}_p$ 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 $H^2$, Bergman space $B^2$, and Dirichlet space $mathcal{D}$. By offering generalized definitions for these spaces, readers are equipped to explore further classes of Banach spaces such as Bloch spaces $mathcal{B}^p$ and Bergman-type spaces $A^p$. Additionally, the authors extend their analysis beyond the open unit disk $mathbb{D}$ and open unit ball $mathbb{B}$ by presenting families of entire functions in the complex plane $mathbb{C}$ and in higher dimensions. The Theory of $mathcal{N}_p$ Spaces is an ideal resource for researchers and PhD students studying spaces of analytic functions and operators within these spaces. Artikel-Nr. 9783031397035
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Theory of N_p Spaces
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Paperback. Zustand: Brand New. 269 pages. 9.45x6.61x0.57 inches. In Stock. Artikel-Nr. x-3031397037
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