Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 343-350.

• Articles • Previous Articles     Next Articles

Lp Boundedness of |Parabolic Littlewood-Paley Operator with Rough Kernel Belonging to Fα(Sn-1)

 CHEN Dong-Xiang1,2, LU Shan-Zhen2   

  1. 1.Department of Mathematics, Jiangxi Normal University, Nanchang 330022|2.School of Mathematics Science, Beijing Normal University, Beijing 100875
  • Received:2008-11-28 Revised:2009-12-14 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10961015, 10871173)、江西省自然科学基金(2008GZS0051)、江西师范大学成长基金(2714)和江西省教育厅基金(GJJ10397)资助

Abstract:

In this paper, the authors establish the Lp-boundedness for  parabolic Littlewood-Paley operator under a weaker condition. Some known results are essentially improved.

Key words: Parabolic Littlewood-Paley operator, Marcinkiewicz integral, Rough kernel, Fourier transform

CLC Number: 

  • 42B25
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