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Viser: Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory
Analysis in Banach Spaces Vital Source e-bog
Tuomas Hytönen, Jan van Neerven, Mark Veraar og Lutz Weis
(2018)
Analysis in Banach Spaces
Volume II: Probabilistic Methods and Operator Theory
Tuomas Hytönen, Jan van Neerven, Mark Veraar og Lutz Weis
(2018)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Februar 2018)
- Forfattere: Tuomas Hytönen, Jan van Neerven, Mark Veraar og Lutz Weis
- ISBN: 9783319698083
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Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (Februar 2018)
- Forfattere: Tuomas Hytönen, Jan van Neerven, Mark Veraar og Lutz Weis
- ISBN: 9783319698076
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.
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.
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