Online-Ressource
Verfasst von:	Müller, Paul F. X. [VerfasserIn]
Titel:	Hardy martingales
Titelzusatz:	stochastic holomorphy, L1-embeddings, and isomorphic invariants
Verf.angabe:	Paul F. X. Müller, Johannes Kepler Universität Linz
Verlagsort:	Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Verlag:	Cambridge University Press
Jahr:	2022
Umfang:	1 Online-Ressource (xv, 500 Seiten)
Gesamttitel/Reihe:	New mathematical monographs ; 43
Fussnoten:	Title from publisher's bibliographic system (viewed on 01 Jul 2022)
ISBN:	978-1-108-97601-5
Abstract:	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.
DOI:	doi:10.1017/9781108976015
URL:	Resolving-System: https://doi.org/10.1017/9781108976015
	DOI: https://doi.org/10.1017/9781108976015
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe: Müller, Paul F. X., 1960 - : Hardy martingales. - Cambridge : Cambridge University Press, 2022. - xv, 500 Seiten
K10plus-PPN:	1810622409
Verknüpfungen:	→ Übergeordnete Aufnahme
	Universitätsbibliothek
Lokale URL UB:	Zum Volltext