The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces

Journal of Mathematical Sciences

MIYOKAWA, Tomohiro¹  KAWABI, Hiroshi¹ 

关键词: Littlewood-Paley-Stein inequality;    gradient estimate condition;    Riesz transforms;    SPDEs;    superprocesses.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Inthispaper,weestablishtheLittlewood-Paley-Steininequalityongeneralmetricspaces%WeshowthisinequalityunderaweakerconditionthanthelowerboundednessofBakry-Emery's$Gamma_{2}$.WealsodiscussRiesztransforms.%arelationshipofSobolevnorms.Asexamples,wedealwithdiffusionprocessesonapathspaceassociatedwithstochasticpartialdifferentialequations(SPDEsinshort)andaclassofsuperprocesseswithimmigration.

【 授权许可】

Unknown