This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of the general construction of one dimensio…
Bergman spaces
by Duren, Peter Larkin, Schuster, Alexander
fromMathematical surveys and monographs
The theory of H(b) spaces
by Mashreghi, Javad, Fricain, Emmanuel
fromNew mathematical monographs (Print)
"An H(b) space is defined as a collection of analytic functions which 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. The first volume of this comprehens…
Operator valued Hardy spaces
by Mei, Tao
fromMemoirs of the American Mathematical Society
This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of clas…
This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory.
