Brownian Motion, Hardy Spaces and Bounded Mean Oscillation
By:K. E. Petersen
Published on 1977-05-19 by Cambridge University Press
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.
This Book was ranked at 3 by Google Books for keyword oscillating.
Book ID of Brownian Motion, Hardy Spaces and Bounded Mean Oscillation's Books is O2wqDnJ8hFwC, Book which was written byK. E. Petersenhave ETAG "qRdIMPZz5Yc"
Book which was published by Cambridge University Press since 1977-05-19 have ISBNs, ISBN 13 Code is 9780521215121 and ISBN 10 Code is 0521215129
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