Analysis on Fock Spaces

• Main Author: Zhu, Kehe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US : Imprint: Springer, 2012.
• Series: Graduate Texts in Mathematics, 263
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Operator Theory.; Several Complex Variables and Analytic Spaces.; Functional Analysis.

Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy spaces” and “Bergman spaces” are by now standard and well established. But the term “Fock spaces” is a different story. Numerous...

Table of Contents:

• Preface
• Chapter 1. Preliminaries
• Chapter 2. Fock Spaces
• Chapter 3. The Berezin Transform and BMO
• Chapter 4. Interpolating and Sampling Sequences
• Chapter 5. Zero Sets for Fock Spaces
• Chapter 6. Toeplitz Operators
• Chapter 7. Small Hankel Operators
• Chapter 8. Hankel Operators
• References
• Index.