國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Hardy martingales/ Paul F. X. Müller.
其他題名:	stochastic holomorphy, L1-embeddings, and isomorphic invariants /
作者:	Müller, Paul F. X.
出版者:	Cambridge :Cambridge University Press, : 2022.,
面頁冊數:	xv, 500 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 01 Jul 2022).
標題:	Martingales (Mathematics) -
電子資源:	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 /
LDR:01931nam a2200253 a 4500 001 1096545
003 UkCbUP
005 20220704145237.0
006 m d
007 cr nn 008maaau
008 221229s2022 enk o 1 0 eng d
020 $a 9781108976015 $q (electronic bk.)
020 $a 9781108838672 $q (hardback)
035 $a CR9781108976015
040 $a UkCbUP $b eng $c UkCbUP $d GP
050 4 $a QA274.5 $b .M95 2022
082 0 4 $a 519.287 $2 23
090 $a QA274.5 $b .M958 2022
100 1 $a Müller, Paul F. X. $3 1405760
245 1 0 $a Hardy martingales $h [electronic resource] : $b stochastic holomorphy, L1-embeddings, and isomorphic invariants / $c Paul F. X. Müller.
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a xv, 500 p. : $b ill., digital ; $c 24 cm.
490 1 $a New mathematical monographs ; $v 43
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.
650 0 $a Martingales (Mathematics) $3 672579
650 0 $a Stochastic analysis. $3 560202
650 0 $a Ideal spaces. $3 1199136
650 0 $a Probabilities. $3 527847
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/9781108976015