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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1977.
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| Colección: | London Mathematical Society lecture note series ;
28. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (105 pages) : illustrations |
| Bibliografía: | 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 |