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Hardy martingales = stochastic holomorphy, L1-embeddings, and isomorphic invariants /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Hardy martingales/ Paul F. X. Müller.
Reminder of title:	stochastic holomorphy, L1-embeddings, and isomorphic invariants /
Author:	Müller, Paul F. X.
Published:	Cambridge :Cambridge University Press, : 2022.,
Description:	xv, 500 p. :ill., digital ; : 24 cm.;
Notes:	Title from publisher's bibliographic system (viewed on 01 Jul 2022).
Subject:	Martingales (Mathematics) -
Online resource:	https://doi.org/10.1017/9781108976015
ISBN:	9781108976015

Hardy martingales = stochastic holomorphy, L1-embeddings, and isomorphic invariants /
Müller, Paul F. X.

Hardy martingalesstochastic holomorphy, L1-embeddings, and isomorphic invariants /[electronic resource] :Paul F. X. Müller. - Cambridge :Cambridge University Press,2022. - xv, 500 p. :ill., digital ;24 cm. - New mathematical monographs ;43. - New mathematical monographs ;31..

Title from publisher's bibliographic system (viewed on 01 Jul 2022).

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.

ISBN: 9781108976015Subjects--Topical Terms:

672579
Martingales (Mathematics)

LC Class. No.: QA274.5 / .M95 2022

Dewey Class. No.: 519.287

Hardy martingales = stochastic holomorphy, L1-embeddings, and isomorphic invariants /
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500 $a Title from publisher's bibliographic system (viewed on 01 Jul 2022).
520 $a 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.
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