![The Theory of H(b) Spaces: Volume 2](https://img.perlego.com/book-covers/4226431/9781316354926_300_450.webp)
The Theory of H(b) Spaces: Volume 2
Emmanuel Fricain,Javad Mashreghi
- English
- PDF
- Available on iOS & Android
The Theory of H(b) Spaces: Volume 2
Emmanuel Fricain,Javad Mashreghi
About This Book
An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.
Frequently asked questions
Information
Table of contents
- Cover
- Half-title
- Series information
- Title page
- Copyright information
- Dedication
- Contents for Volume 2
- Contents for Volume 1
- Preface
- 16 The spaces mathcal M(A) and mathcal H(A)
- 17 Hilbert spaces inside H[sup(2)]
- 18 The structure of mathcal H(b) and mathcal H(bar b)
- 19 Geometric representation of mathcal H(b) spaces
- 20 Representation theorems for mathcal H(b) and mathcal H(bar b)
- 21 Angular derivatives of mathcal H(b) functions
- 22 Bernstein-type inequalities
- 23 mathcal H(b) spaces generated by a nonextreme symbol b
- 24 Operators on mathcal H(b) spaces with b nonextreme
- 25 mathcal H(b) spaces generated by an extreme symbol b
- 26 Operators on mathcal H(b) spaces with b extreme
- 27 Inclusion between two mathcal H(b) spaces
- 28 Topics regarding inclusions mathcal M(a) subset mathcal H(bar b) subset mathcal H(b)
- 29 Rigid functions and strongly exposed points of H[sup(1)]
- 30 Nearly invariant subspaces and kernels of Toeplitz operators
- 31 Geometric properties of sequences of reproducing kernels
- References
- Symbol index
- Author index
- Subject index