Brownian motion, Hardy spaces, and bounded mean oscillation

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...

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1. Verfasser: Petersen, Karl Endel 1943-
Format: E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 1977
Schriftenreihe:London Mathematical Society lecture note series 28
Online-Zugang:Volltext
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spelling Petersen, Karl Endel 1943-
Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen
Brownian Motion, Hardy Spaces & Bounded Mean Oscillation
Cambridge Cambridge University Press 1977
1 Online-Ressource (105 Seiten)
txt
c
cr
London Mathematical Society lecture note series 28
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.
Erscheint auch als Druck-Ausgabe 9780521215121
TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511662386 Volltext
spellingShingle Petersen, Karl Endel 1943-
Brownian motion, Hardy spaces, and bounded mean oscillation
title Brownian motion, Hardy spaces, and bounded mean oscillation
title_alt Brownian Motion, Hardy Spaces & Bounded Mean Oscillation
title_auth Brownian motion, Hardy spaces, and bounded mean oscillation
title_exact_search Brownian motion, Hardy spaces, and bounded mean oscillation
title_full Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen
title_fullStr Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen
title_full_unstemmed Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen
title_short Brownian motion, Hardy spaces, and bounded mean oscillation
title_sort brownian motion hardy spaces and bounded mean oscillation
url https://doi.org/10.1017/CBO9780511662386
work_keys_str_mv AT petersenkarlendel brownianmotionhardyspacesandboundedmeanoscillation
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