Hardy martingales: stochastic holomorphy, L1-embeddings, and isomorphic invariants
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 refl...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2022
|
| Schriftenreihe: | New mathematical monographs
43 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 TUM01 TUM02 UBG01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (xv, 500 Seiten) Illustrationen, Diagramme |
| ISBN: | 9781108976015 |
| DOI: | 10.1017/9781108976015 |
Internformat
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:18:17Z |
| indexdate | 2024-07-10T09:36:30Z |
| institution | BVB |
| isbn | 9781108976015 |
| language | English |
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| spelling | Müller, Paul F. X. 1960- (DE-588)140915419 aut Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants Paul F. X. Müller Cambridge, United Kingdom Cambridge University Press 2022 1 Online-Ressource (xv, 500 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 43 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 Martingales (Mathematics) Stochastic analysis Ideal spaces Probabilities Erscheint auch als Druck-Ausgabe 978-1-108-83867-2 New mathematical monographs 43 (DE-604)BV045935264 43 https://doi.org/10.1017/9781108976015 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Müller, Paul F. X. 1960- Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants New mathematical monographs Martingales (Mathematics) Stochastic analysis Ideal spaces Probabilities |
| title | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants |
| title_auth | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants |
| title_exact_search | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants |
| title_exact_search_txtP | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants |
| title_full | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants Paul F. X. Müller |
| title_fullStr | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants Paul F. X. Müller |
| title_full_unstemmed | Hardy martingales stochastic holomorphy, L1-embeddings, and isomorphic invariants Paul F. X. Müller |
| title_short | Hardy martingales |
| title_sort | hardy martingales stochastic holomorphy l1 embeddings and isomorphic invariants |
| title_sub | stochastic holomorphy, L1-embeddings, and isomorphic invariants |
| topic | Martingales (Mathematics) Stochastic analysis Ideal spaces Probabilities |
| topic_facet | Martingales (Mathematics) Stochastic analysis Ideal spaces Probabilities |
| url | https://doi.org/10.1017/9781108976015 |
| volume_link | (DE-604)BV045935264 |
| work_keys_str_mv | AT mullerpaulfx hardymartingalesstochasticholomorphyl1embeddingsandisomorphicinvariants |