TY  - BOOK
AU  - Petersen,K.E.
TI  - Brownian Motion, Hardy Spaces and Bounded Mean Oscillation
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511662386 (ebook)
AV  - QA274.75  .P47
U1  - 519.2/8 n/a
PY  - 1977///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Brownian motion processes
KW  - Hardy spaces
KW  - Bounded mean oscillation
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9780511662386
ER  -