Brownian Motion, Hardy Spaces and Bounded Mean Oscillation / K. E. Petersen.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 28Publisher: Cambridge : Cambridge University Press, 1977Description: 1 online resource (112 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662386 (ebook)Other title: Brownian Motion, Hardy Spaces & Bounded Mean OscillationSubject(s): Brownian motion processes | Hardy spaces | Bounded mean oscillationAdditional physical formats: Print version: : No titleDDC classification: 519.2/8 LOC classification: QA274.75 | .P47Online resources: Click here to access online 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12067 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
There are no comments on this title.