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Titlebook: Analysis in Banach Spaces; Volume II: Probabili Tuomas Hytönen,Jan van Neerven,Lutz Weis Book 2017 Springer International Publishing AG 201

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发表于 2025-3-21 19:11:02 | 显示全部楼层 |阅读模式
期刊全称Analysis in Banach Spaces
期刊简称Volume II: Probabili
影响因子2023Tuomas Hytönen,Jan van Neerven,Lutz Weis
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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Titlebook: Analysis in Banach Spaces; Volume II: Probabili Tuomas Hytönen,Jan van Neerven,Lutz Weis Book 2017 Springer International Publishing AG 201
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. .
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发表于 2025-3-21 23:49:43 | 显示全部楼层
-boundedness,ated to the central role of .-boundedness in the theory of Fourier multipliers, and another one to the .-boundedness of integral means and the range of sufficiently smooth operator-valued functions. In the final section, we characterise the situations in which .-boundedness coincides with other types of boundedness.
发表于 2025-3-22 01:46:25 | 显示全部楼层
Book 2017Paley 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
发表于 2025-3-22 07:30:16 | 显示全部楼层
https://doi.org/10.1007/978-3-8348-9436-6me of the deeper results about the .-calculus. In two final sections, we discuss the .-calculus of bi-sectorial operators, and establish the .-calculus of generators of appropriate groups and semigroups on UMD spaces.
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Kurzzeit-Spektralanalyse: Beispiele,comparison results relating the . norms of different types of random sums, as well as different . norms of a fixed sum. We also describe the dual and bi-dual of the spaces of random sequences, and characterise the convergence of infinite random series. In the final section, we compare the . norms of random sums and lacunary trigonometric sums.
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发表于 2025-3-22 22:30:47 | 显示全部楼层
https://doi.org/10.1007/978-3-8348-9082-5 duality of the random sequence spaces; this section culminates in Pisier‘s characterisation of .-convexity in terms of non-trivial type. The final section investigates the properties of multiple random sums involving products of Gaussian or Rademacher variables.
发表于 2025-3-23 03:07:22 | 显示全部楼层
发表于 2025-3-23 06:00:10 | 显示全部楼层
Type, cotype, and related properties, duality of the random sequence spaces; this section culminates in Pisier‘s characterisation of .-convexity in terms of non-trivial type. The final section investigates the properties of multiple random sums involving products of Gaussian or Rademacher variables.
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