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

Tuomas Hytönen

ISBN 10: 3319698079 / ISBN 13: 9783319698076

Edité par Springer, Springer International Publishing, 2018

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This secondvolume 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 classicalbackground from the theory of Banach spaces, including notionsliketype, cotype, K-convexity and contraction principles. In turn, the next two chapters providea detailed treatment of the theory of R-boundedness and Banach spacevalued square functions developed over the last 20 years. In the last chapter, this content is applied to developthe holomorphic functional calculus of sectorial and bi-sectorial operators in Banachspaces. Given its breadth of coverage, this book will be an invaluable reference to graduatestudents and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

N° de réf. du vendeur 9783319698076

Détails bibliographiques

• Titre: Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory
• Éditeur: Springer, Springer International Publishing
• Date de parution: 2018
• Langue: anglais
• ISBN à 10 chiffres: 3319698079
• ISBN à 13 chiffres: 9783319698076
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 40 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 40 millimètres de profondeur
• Poids: 1115 grammes

A propos de ce titre

Synopsis

Presents a thorough study of the basic randomisation techniques and the operator-theoretic aspects of the theory.

À propos de l?auteur

Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 60 research papers, he was educated at Helsinki University of Technology and spent a postdoc year at Delft University of Technology. He received a European Research Council Starting Grant in 2011 and gave an invited address to the International Congress of Mathematicians in 2014.

Jan van Neerven is Professor of Analysis at Delft University of Technology. Author of more than 100 research papers and two monographs, he is a leading expert in Operator Theory and Stochastic Analysis. He held post-doctoral positions at Caltech and Tübingen University. He was awarded a Human Capital and Mobility fellowship, a fellowship of the Royal Dutch Academy of Arts and Sciences, and VIDI and VICI subsidies from the Netherlands Organisation for Scientific Research.

Mark Veraar is Associate Professor at Delft University of Technology. Author of over 40 research papers, he is a leadingresearcher in the theory of evolution equations and stochastic partial differential equations. He held post-doctoral positions at the Universities of Warsaw and Karlsruhe, the latter with a Alexander von Humboldt Fellowship. He is the recipient of VENI and VIDI grants from the Netherlands Organisation for Scientific Research.

Lutz Weis, a Professor at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 80 research papers and a monograph. Since receiving his PhD from University of Bonn, he was a professor at Louisiana State University and visiting professor at TU Berlin as well as Universities of Kiel, South Carolina and Minnesota. He organized a Marie Curie training site and is currently a member of a DFG Graduiertenkolleg.