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 [England] ; New York :
Cambridge University Press,
1977.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
28. |
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (105 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 98-101) and index. |
| ISBN: | 9781107087125 1107087120 9780511662386 0511662386 1299706770 9781299706774 1139883720 9781139883726 1107090156 9781107090156 1107099498 9781107099494 1107102030 9781107102033 1107093325 9781107093324 |
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| 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. | ||
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| 650 | 0 | |a Bounded mean oscillation. |0 http://id.loc.gov/authorities/subjects/sh90000172 | |
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| id | ZDB-4-EBA-ocn846494875 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:22Z |
| institution | BVB |
| isbn | 9781107087125 1107087120 9780511662386 0511662386 1299706770 9781299706774 1139883720 9781139883726 1107090156 9781107090156 1107099498 9781107099494 1107102030 9781107102033 1107093325 9781107093324 |
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| publisher | Cambridge University Press, |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Petersen, Karl Endel, 1943- https://id.oclc.org/worldcat/entity/E39PBJqvWgdyyyDbtbhbfDw9jC http://id.loc.gov/authorities/names/n82077232 Brownian motion, Hardy spaces, and bounded mean oscillation / K.E. Petersen. Cambridge [England] ; New York : Cambridge University Press, 1977. 1 online resource (105 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 28 Includes bibliographical references (pages 98-101) and index. Print version record. English. 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. http://id.loc.gov/authorities/subjects/sh85017265 Hardy spaces. http://id.loc.gov/authorities/subjects/sh85058902 Bounded mean oscillation. http://id.loc.gov/authorities/subjects/sh90000172 Oscillations. http://id.loc.gov/authorities/subjects/sh85095898 Processus de mouvement brownien. Espaces de Hardy. Oscillations. Oscillation moyenne bornée. oscillation. aat MATHEMATICS Probability & Statistics General. bisacsh Oscillations fast Bounded mean oscillation fast Brownian motion processes fast Hardy spaces fast Brownsche Bewegung gnd http://d-nb.info/gnd/4128328-4 Hardy-Raum gnd http://d-nb.info/gnd/4159109-4 Brownse beweging. gtt Hardy-ruimten. gtt Trillingen. gtt Mouvement brownien, Processus de. ram Hardy, Espaces de. ram Print version: Petersen, Karl Endel, 1943- Brownian motion, Hardy spaces, and bounded mean oscillation. Cambridge, [Eng.] ; New York : Cambridge University Press, 1977 0521215129 (DLC) 76046860 (OCoLC)2644288 London Mathematical Society lecture note series ; 28. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569306 Volltext |
| spellingShingle | Petersen, Karl Endel, 1943- Brownian motion, Hardy spaces, and bounded mean oscillation / London Mathematical Society lecture note series ; Brownian motion processes. http://id.loc.gov/authorities/subjects/sh85017265 Hardy spaces. http://id.loc.gov/authorities/subjects/sh85058902 Bounded mean oscillation. http://id.loc.gov/authorities/subjects/sh90000172 Oscillations. http://id.loc.gov/authorities/subjects/sh85095898 Processus de mouvement brownien. Espaces de Hardy. Oscillations. Oscillation moyenne bornée. oscillation. aat MATHEMATICS Probability & Statistics General. bisacsh Oscillations fast Bounded mean oscillation fast Brownian motion processes fast Hardy spaces fast Brownsche Bewegung gnd http://d-nb.info/gnd/4128328-4 Hardy-Raum gnd http://d-nb.info/gnd/4159109-4 Brownse beweging. gtt Hardy-ruimten. gtt Trillingen. gtt Mouvement brownien, Processus de. ram Hardy, Espaces de. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85017265 http://id.loc.gov/authorities/subjects/sh85058902 http://id.loc.gov/authorities/subjects/sh90000172 http://id.loc.gov/authorities/subjects/sh85095898 http://d-nb.info/gnd/4128328-4 http://d-nb.info/gnd/4159109-4 |
| title | Brownian motion, Hardy spaces, and 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. http://id.loc.gov/authorities/subjects/sh85017265 Hardy spaces. http://id.loc.gov/authorities/subjects/sh85058902 Bounded mean oscillation. http://id.loc.gov/authorities/subjects/sh90000172 Oscillations. http://id.loc.gov/authorities/subjects/sh85095898 Processus de mouvement brownien. Espaces de Hardy. Oscillations. Oscillation moyenne bornée. oscillation. aat MATHEMATICS Probability & Statistics General. bisacsh Oscillations fast Bounded mean oscillation fast Brownian motion processes fast Hardy spaces fast Brownsche Bewegung gnd http://d-nb.info/gnd/4128328-4 Hardy-Raum gnd http://d-nb.info/gnd/4159109-4 Brownse beweging. gtt Hardy-ruimten. gtt Trillingen. gtt Mouvement brownien, Processus de. ram Hardy, Espaces de. ram |
| topic_facet | Brownian motion processes. Hardy spaces. Bounded mean oscillation. Oscillations. Processus de mouvement brownien. Espaces de Hardy. Oscillation moyenne bornée. oscillation. MATHEMATICS Probability & Statistics General. Oscillations Bounded mean oscillation Brownian motion processes Hardy spaces Brownsche Bewegung Hardy-Raum Brownse beweging. Hardy-ruimten. Trillingen. Mouvement brownien, Processus de. Hardy, Espaces de. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569306 |
| work_keys_str_mv | AT petersenkarlendel brownianmotionhardyspacesandboundedmeanoscillation |