分數(shù)次極大算子的加權(quán)模不等式.pdf

1、分類號UDC密級單位代碼10094訶孽￡湃藍大學碩士學位論文(同等學力)分數(shù)次極大算子的加權(quán)模不等式李娟指導教師姓名：李文明教授專業(yè)名稱：基礎(chǔ)數(shù)學研究方向：調(diào)和分析與小波分析申請學位級別：碩士二oo六年九月日WeightedNormInequalityForTheFractionalMaximalOperatorsAbstractInthepastthirtyyears，theweightednornlinequalityformaxi

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3、rRecentlyCP6rez[1]1gaveafewsufficientAp—conditionfortwoweightnorminequalityoftheHardylittlewoodmaximaloperatorwithadifferentapproachFor0onthefractionalmaximaloperatorisdefinedforlocallyintegrablefunctionfby1，％m)2船南厶I／(y)

4、f蟣wherethesupremumistakenoverallthecubscontainingXInthispaper，wemainlydiscussthesufficientApconditionsatislyingthetwoweightnornlinequalitiesforthefractionalmaximaloperatorThemainresultisthefollowingtheoremsandcorollaxrie

5、sLet1Poo，0dnandletXbeaBanachfunctionspacesuchthatMkmapsp(R0topt礎(chǔ))SupposethatwV1isacoupleofweightssuchthatthereisapositiveconstantKforwhich，，、1／P蚓叫“(高厶岫)蹦∞IIvlJIx，口≤KforallcubesThen厶。(“(y)眠，(。，))’dys。厶。(“(Ⅳ)，(∥))9dy，foral