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Brownian Motion, Hardy Spaces and Bounded Mean Oscillation (London Mathematical Society...

Home > Mathematics Books > Brownian Motion Books > Item 32

	Brownian Motion, Hardy Spaces and Bounded Mean Oscillation (London Mathematical Society...
	by K. E. Petersen Sales Rank: 3985993	List Price: ~~$36.99~~ $39.99 At Amazon on 12-5-2008

Paperback: 112 pages Publisher: Cambridge University Press May 19, 1977 Language: English ISBN-10: 0521215129 ISBN-13: 978-0521215121 Product Dimensions: 8.8 x 6 x 0.5 inches Shipping Weight: 5.6 ounces *Product Description* 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. *Book Description* 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.
Brownian Motion, Hardy Spaces and Bounded Mean Oscillation (London Mathematical Society... Available from Amazon Price: $39.99 Updated on 12-5-2008

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