Cover Image
Read Now

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

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...

Full description

Bibliographic Details
Main Authors: Hytönen, Tuomas, van Neerven, Jan (Author), Veraar, Mark (Author), Weis, Lutz (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Subjects:
Functional Analysis
Fourier Analysis
Operator Theory
Partial Differential Equations
Probability Theory And Stochastic Processes
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02856nmm a2200397 u 4500
001 EB001763770
003 EBX01000000000000000969674
005 00000000000000.0
007 cr|||||||||||||||||||||
008 180302 ||| eng
020 |a 9783319698083 
100 1 |a Hytönen, Tuomas 
245 0 0 |a Analysis in Banach Spaces  |h Elektronische Ressource  |b Volume II: Probabilistic Methods and Operator Theory  |c by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis 
250 |a 1st ed. 2017 
260 |a Cham  |b Springer International Publishing  |c 2017, 2017 
300 |a XXIII, 616 p. 7 illus  |b online resource 
505 0 |a 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 
653 |a Functional analysis 
653 |a Fourier Analysis 
653 |a Functional Analysis 
653 |a Operator Theory 
653 |a Operator theory 
653 |a Partial Differential Equations 
653 |a Partial differential equations 
653 |a Probability Theory and Stochastic Processes 
653 |a Probabilities 
653 |a Fourier analysis 
700 1 |a van Neerven, Jan  |e [author] 
700 1 |a Veraar, Mark  |e [author] 
700 1 |a Weis, Lutz  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 
856 4 0 |u https://doi.org/10.1007/978-3-319-69808-3?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515.7 
520 |a 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 chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations. 

Similar Items