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Book Cover
E-book
Author Petersen, Karl Endel, 1943-

Title Brownian motion, Hardy spaces, and bounded mean oscillation / K.E. Petersen
Published Cambridge [England] ; New York : Cambridge University Press, 1977

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Description 1 online resource (105 pages) : illustrations
Series London Mathematical Society lecture note series ; 28
London Mathematical Society lecture note series ; 28.
Summary 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
Bibliography Includes bibliographical references (pages 98-101) and index
Notes English
Print version record
Subject Brownian motion processes.
Hardy spaces.
Bounded mean oscillation.
Oscillations.
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.
Form Electronic book
ISBN 9781107087125
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