BrownianMotion,HardySpacesandBoundedMeanOscillation
- 作者
- 出版社 CambridgeUniversityPress
- 出版时间 1977年5月
- ISBN 9780521215121
- 定价 337.90
内容简介
ThisexpositionofresearchonthemartingaleandanalyticinequalitiesassociatedwithHardyspacesandfunctionsofboundedmeanoscillation(BMO)introducesthesubjectbyconcentratingontheconnectionbetweentheprobabilisticandanalyticapproaches.Shortsurveysofclassicalresultsonthemaximal,squareandLittlewood-PaleyfunctionsandthetheoryofBrownianmotionintroduceadetaileddiscussionoftheBurkholder-Gundy-SilversteincharacterizationofHPintermsofmaximalfunctions.ThebookexaminesthebasisoftheabstractmartingaledefinitionsofHPandBMO,makesgenerallyavailableforthefirsttimeworkofGundyetal.oncharacterizationsofBMO,andincludesaprobabilisticproofoftheFefferman-SteinTheoremonthedualityofH11andBMO.
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