Analysis in Banach Spaces Volume II: Probabilistic Methods and Operator Theory /

• Main Authors: Hytönen, Tuomas (Author), van Neerven, Jan (Author), Veraar, Mark (Author), Weis, Lutz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 67
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Operator theory.; Partial differential equations.; Probabilities.; Functional Analysis.; Operator Theory.; Fourier Analysis.; Partial Differential Equations.; Probability Theory and Stochastic Processes.

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two...

Table of Contents:

• 6.Random sums.-7.Type, cotype, and related properties
• 8.R-boundedness
• 9.Square functions and radonifying operators
• 11.The H1-functional calculus
• P.Open problems
• E.Probability theory
• F Banach lattices
• G Semigroups of linear operators
• H.Holomorphic functions on the strip
• I.Muckenhoupt weights
• References
• Index.