Brownian motion, Hardy spaces, and bounded mean oscillation:
This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1977
|
| Schriftenreihe: | London Mathematical Society lecture note series
28 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO. |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (105 pages) |
| ISBN: | 9780511662386 |
| DOI: | 10.1017/CBO9780511662386 |
Internformat
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| 100 | 1 | |a Petersen, Karl Endel |d 1943- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Brownian motion, Hardy spaces, and bounded mean oscillation |c K.E. Petersen |
| 246 | 1 | 3 | |a Brownian Motion, Hardy Spaces & Bounded Mean Oscillation |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1977 | |
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| 490 | 0 | |a London Mathematical Society lecture note series |v 28 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO. | ||
| 650 | 4 | |a Brownian motion processes | |
| 650 | 4 | |a Hardy spaces | |
| 650 | 4 | |a Bounded mean oscillation | |
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| 650 | 0 | 7 | |a Hardy-Raum |0 (DE-588)4159109-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| author | Petersen, Karl Endel 1943- |
| author_facet | Petersen, Karl Endel 1943- |
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| author_sort | Petersen, Karl Endel 1943- |
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| bvnumber | BV043942323 |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511662386 |
| format | Electronic eBook |
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| id | DE-604.BV043942323 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511662386 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351293 |
| oclc_num | 907964413 |
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| physical | 1 online resource (105 pages) |
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| publishDate | 1977 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Petersen, Karl Endel 1943- Verfasser aut Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen Brownian Motion, Hardy Spaces & Bounded Mean Oscillation Cambridge Cambridge University Press 1977 1 online resource (105 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 28 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO. Brownian motion processes Hardy spaces Bounded mean oscillation Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 s Hardy-Raum (DE-588)4159109-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-21512-1 https://doi.org/10.1017/CBO9780511662386 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Petersen, Karl Endel 1943- Brownian motion, Hardy spaces, and bounded mean oscillation Brownian motion processes Hardy spaces Bounded mean oscillation Brownsche Bewegung (DE-588)4128328-4 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| subject_GND | (DE-588)4128328-4 (DE-588)4159109-4 |
| title | Brownian motion, Hardy spaces, and bounded mean oscillation |
| title_alt | Brownian Motion, Hardy Spaces & Bounded Mean Oscillation |
| title_auth | Brownian motion, Hardy spaces, and bounded mean oscillation |
| title_exact_search | Brownian motion, Hardy spaces, and bounded mean oscillation |
| title_full | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
| title_fullStr | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
| title_full_unstemmed | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
| title_short | Brownian motion, Hardy spaces, and bounded mean oscillation |
| title_sort | brownian motion hardy spaces and bounded mean oscillation |
| topic | Brownian motion processes Hardy spaces Bounded mean oscillation Brownsche Bewegung (DE-588)4128328-4 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| topic_facet | Brownian motion processes Hardy spaces Bounded mean oscillation Brownsche Bewegung Hardy-Raum |
| url | https://doi.org/10.1017/CBO9780511662386 |
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