文档介绍：AnalysisinTheonyandApplications
Votume24Number4008,321329
THEBOUNDEDNESSOF
MAXIMALBOCHNERRIESZ
OPERATORANDMAXIMAL
COMMUTATORONMORREYTVPESPACES
YugingLiuandDongxiangChen
OianeiNornalUniversioChinal
ReceiyedApr22,.
AbstractTheboundednessofmaximalBochnerRieszoperator育andliatofmaxinal
commutator胺,generstedbydiisoperitorandLipsehizfunctiononheclessicalMoney
spaceandgeneralizedMoneyspacesreesablshed
RKeywordsBocinerRiestoperaiorcopmuatorMoepacejpsnhizimction
1IntroductionandMainResults
ItiswelknowathatthecommutatorisanimportantintegaloperatorandiLplaysakey
Toleinharmonicanalysis,In1965,CalderinlMt2studiedakindofcommutatorsappearing训
CauchyintegralproblemsofLiplineSubsequently,Coifman,RochbergandWeiss日provedthe
boundednessofsingularintegralcommatatoronLPRWJ1p一史,In1996,LuandH国
cstablishedtheboundednessofBochnerRieszcommutatoronI7RJIp一史In1997,
YangandLstudiedthecontinuityofBechnerRieszcommatstoronHervWypespaces
2003,LnandLiupcstablishedtheLLogLVpeestimateandweightedweakVpeestmate
ofBochnerRieszmaximalcommutatorIn2004LibestablishedthecontinuityofBochner
,Linlstudiedtheboundedness
ofstronglysingularCalderdmZygmundoperatorandcommutatoronMoreyVpespacesThe
SupponedbyNSFCII05710141NSFCQ0571156degowlhbundaionofJXNU983andledociorfound
SononXNU