Acta mathematica scientia,Series A

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Boundeness of Multilinear Operators Related to Fractional Integral

with Rough Kernel on Hardy Spaces

Han Haiyan; Lu Shanzhen   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • Received:2005-11-20 Revised:2007-02-13 Online:2008-02-25 Published:2008-02-25
  • Contact: Han Haiyan

Abstract: In this paper, the authors discuss the(H1(\rrn),Lnnα,(\rrn))
boundedness of the multilinear operator related to fractional integral with rough kernel
TAΩ,α(f)(x)=p.v.RnPm(A;x,y)Ω(xy)|xy|nα+m1f(y)dy.


Key words: Fractional integral, Commutator, Multilinear operator

CLC Number: 

  • 42B25
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