Brownian motion, Hardy spaces, and bounded mean oscillation
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Author
Publication
1977 - Cambridge University Press, Cambridge, [Eng.], England
Language
English
Word Count
26,250 words, Guess
Page Count
105 pages
Identifiers
- Open LibraryOL4901986M
- ISBN-100521215129
- OCLC Control Number2644288
- OCLC Control Numberbrownianmotionha0000pete
- Library of Congress Control Number76046860
and 1 more
- Goodreads4414592
Classifications
- DDC519.2/8
- LCCQA274.75 .P47
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 and others on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.
Subjects
Topics
Series Statement
- London Mathematical Society lecture note series ; 28
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