期刊全称 | Analysis in Banach Spaces | 期刊简称 | Volume II: Probabili | 影响因子2023 | Tuomas Hytönen,Jan van Neerven,Lutz Weis | 视频video | | 发行地址 | Offers the first comprehensive treatment of R-boundedness, Banach space-valued square functions and ?-radonifying operators.Develops their deep connections with the holomorphic functional calculus of | 学科分类 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | 图书封面 |  | 影响因子 | .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. . | Pindex | Book 2017 |
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