Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

• Main Authors: Jevtić, Miroljub (Author), Vukotić, Dragan (Author), Arsenović, Miloš (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: RSME Springer Series, 2
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Functional Analysis.; Operator Theory.

This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind i...

Table of Contents:

• 1 Basic Spaces. Multipliers
• 2 The Poisson Integral
• 3 Subharmonic and h-subharmonic Functions
• 4 Hardy Spaces of Analytic Functions
• 5 Carleson Measures, Mean Oscillation Spaces and Duality
• 6 Polynomial Approximation and Taylor Coefficients of Hp Functions
• 7 The Mixed Norm Spaces Hp,q,α
• 8 Hp,q,α as a Sequence Space
• 9 Tensor Products and Multipliers
• 10 Duality and Multipliers
• 11 Multipliers From Hp and Hp,q,α Spaces to ℓs
• 12 Multiplier Spaces (Hp,q,α,Hu,v,β) and (Hp,Hu)
• 13 Multipliers of Some Large Spaces of Analytic Functions
• 14 The Hilbert Matrix Operator.