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The Boundedness Of The Rough Kernel Singular Integral Operators On Mixed Radial-angular Spaces

Posted on:2020-03-25Degree:MasterType:Thesis
Country:ChinaCandidate:Y X LiuFull Text:PDF
GTID:2370330620956383Subject:Basic mathematics
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The classical singular integral operators were first proposed by Calderon and Zygmund and proved its boundedness on the Lp space in the 50s.In 2016,P.D'Ancona and Luca proved classical singular integral operators are bounded on mixed radial-angular spaces.In 2017,F.Liu and D.Fan proved that the boundedness of the rough kernel singular integral operators along polynomial curves on mixed radial-angular spaces for ??Lp(Sn-1).This paper is devoted to study the mixed radial-angular bounndedness of the rough kernel singular integral operators along polynomial curve for ??F?(Sn-1).
Keywords/Search Tags:singular integral operators, mixed radial-angular spaces, F_? spaces, boundedness
PDF Full Text Request
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