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001482388 001__ 1482388
001482388 003__ OCoLC
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001482388 019__ $$a1402243379
001482388 020__ $$a9783031397042$$q(electronic bk.)
001482388 020__ $$a3031397045$$q(electronic bk.)
001482388 020__ $$z3031397037
001482388 020__ $$z9783031397035
001482388 0247_ $$a10.1007/978-3-031-39704-2$$2doi
001482388 035__ $$aSP(OCoLC)1402815490
001482388 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dOCLCO
001482388 049__ $$aISEA
001482388 050_4 $$aQA322.2$$b.K46 2023
001482388 08204 $$a515/.732$$223/eng/20231023
001482388 1001_ $$aKhoi, Le Hai.
001482388 24510 $$aTheory of Np spaces /$$cLe Hai Khoi, Javad Mashreghi.
001482388 260__ $$aCham :$$bBirkhäuser,$$c2023.
001482388 300__ $$a1 online resource (261 p.).
001482388 4901_ $$aFrontiers in Mathematics
001482388 500__ $$a11 Np-Type Functions with Hadamard Gaps in the Unit Ball B
001482388 504__ $$aIncludes bibliographical references and index.
001482388 5050_ $$aIntro -- Preface -- Contents -- 1 Function Spaces -- 1.1 Classical Function Spaces -- 1.2 Weighted Sequence Spaces -- 1.3 Special Families of Weighted Sequence Spaces -- 1.4 Weighted Hardy Spaces -- 1.5 Special Families of Weighted Hardy Spaces -- 1.6 Hilbert Spaces of Entire Functions -- 1.7 Hilbert Spaces of Formal Power Series -- 1.8 Some Estimations -- Notes on Chapter 1 -- 2 The Counting Function and Its Applications -- 2.1 The Nevanlinna Counting Function -- 2.2 Littlewood's Inequality -- 2.3 A Change of Variable Formula -- 2.4 The Generalized Nevanlinna Counting Function
001482388 5058_ $$a7.1 On the Unit Ball -- 7.2 The Automorphism a -- 7.3 Surjective Isometries -- 7.4 Np(B) Is a Chain -- 7.5 The Embedding Np(B)-3mu→A-n+12(B) -- 7.6 The Embedding A-k(B)-3mu→Np(B) -- 7.7 Np(B) as a Banach Space -- 7.8 The Embedding B(B)-3mu→Np(B) -- Notes on Chapter 7 -- 8 Weighted Composition Operators on B -- 8.1 A Test Function -- 8.2 Boundedness -- 8.3 Compactness: Easy Reformulations -- 8.4 Compactness: Characterization -- 8.5 Estimation of f(z)-f(w) -- 8.6 Compactness of Difference -- 8.7 Essential Norm: Upper Bound -- 8.8 Essential Norm: Lower Bound -- Notes on Chapter 8
001482388 506__ $$aAccess limited to authorized users.
001482388 520__ $$aThis monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operators on these spaces. The book covers a significant portion of the recent research on these spaces, making it an invaluable resource for those delving into this rapidly developing area. The authors introduce various weighted spaces, including the classical Hardy space $H^2$, Bergman space $B^2$, and Dirichlet space $\mathcal{D}$. By offering generalized definitions for these spaces, readers are equipped to explore further classes of Banach spaces such as Bloch spaces $\mathcal{B}^p$ and Bergman-type spaces $A^p$. Additionally, the authors extend their analysis beyond the open unit disk $\mathbb{D}$ and open unit ball $\mathbb{B}$ by presenting families of entire functions in the complex plane $\mathbb{C}$ and in higher dimensions. The Theory of $\mathcal{N}_p$ Spaces is an ideal resource for researchers and PhD students studying spaces of analytic functions and operators within these spaces.
001482388 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 23, 2023).
001482388 650_6 $$aEspaces de Banach.
001482388 650_6 $$aAnalyse fonctionnelle.
001482388 650_0 $$aBanach spaces.
001482388 650_0 $$aFunctional analysis.$$0(DLC)sh 85052312
001482388 655_0 $$aElectronic books.
001482388 7001_ $$aMashreghi, Javad.
001482388 77608 $$iPrint version:$$aKhoi, Le Hai$$tTheory of Np Spaces$$dCham : Springer Basel AG,c2023$$z9783031397035
001482388 830_0 $$aFrontiers in mathematics.
001482388 852__ $$bebk
001482388 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-39704-2$$zOnline Access$$91397441.1
001482388 909CO $$ooai:library.usi.edu:1482388$$pGLOBAL_SET
001482388 980__ $$aBIB
001482388 980__ $$aEBOOK
001482388 982__ $$aEbook
001482388 983__ $$aOnline
001482388 994__ $$a92$$bISE