Hardy Martingales: Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants: 43 (New Mathematical Monographs, Series Number 43) - Image 1

£97.00

Cambridge University Press Hardy Martingales: Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants: 43 (New Mathematical Monographs, Series Number 43)

Name: Hardy Martingales: Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants: 43 (New Mathematical Monographs, Series Number 43)
Brand: Cambridge University Press
Price: 97.0 GBP
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Applied Mathematics

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Description

This book presents the probabilistic methods around Hardy martingales for an audience interested in their applications to complex, harmonic, and functional analysis. Building on work of Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it discusses in detail those martingale spaces that reflect characteristic qualities of complex analytic functions. Its particular themes are holomorphic random variables on Wiener space, and Hardy martingales on the infinite torus product, and numerous deep applications to the geometry and classification of complex Banach spaces, e.g., the SL∞ estimates for Doob's projection operator, the embedding of L1 into L1/H1, the isomorphic classification theorem for the polydisk algebras, or the real variables characterization of Banach spaces with the analytic Radon Nikodym property. Due to the inclusion of key background material on stochastic analysis and Banach space theory, it's suitable for a wide spectrum of researchers and graduate students working in classical and functional analysis.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1108838677
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 14 July 2022
Listed Since: 18 November 2021

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Cambridge University Press Hardy Martingales: Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants: 43 (New Mathematical Monographs, Series Number 43)

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