Theory of N_p Spaces (1st ed. 2023)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	October 2023
Authors:	Le Hai Khoi • Javad Mashreghi
Dimensions:	240 x 168mm (L x W)
Pages:	235
Edition:	1st ed. 2023
ISBN-13:	978-3-03-139703-5
Categories:	Books Promotions
LSN:	3-03-139703-7
Barcode:	9783031397035

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