Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 914-927.

• Articles • Previous Articles     Next Articles

Lp Boundedness of Multiple Marcinkiewicz Integral Operators with Rough Kernels

 XIE Xian-Hua, XIAO Xin-Yuan, XU Shao-Yuan, MA Li   

  1. 1.School of Mathematical Sciences, Gannan Normal University, Jiangxi Ganzhou 341000|2.The Third Middle School of Ganzhou, Jiangxi Ganzhou 341000
  • Received:2011-04-28 Revised:2012-08-06 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    国家自然科学基金(10961007)资助

Abstract:

In this article, certain multiple Marcinkiewicz integral operators were studied. The Lp boundedness for these operators are established for some fixed p under some rather weak size by using Littlewood-Paley theory and Fourier transforms. the main results essentially improve and extend some known results. 

Key words: Marcinkiewicz integral, Rough kernel,  Littlewood-paley theory, Fourier transform estimate

CLC Number: 

  • 42B20
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