Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (1): 133-138.

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A NOTE ON MARCINKIEWICZ INTEGRALS WITH H1 KERNELS

 XU Han, CHEN Jie-Cheng, YING Yi-Ming   

  1. Department of Information &|Computing Science|Zhejiang Engineering College, Hangzhou 310007, China Department of Mathematics, Zhejiang University (at Xixi Campus), Hangzhou 310028, China
  • Online:2003-01-06 Published:2003-01-06
  • Supported by:

    Supported by 973 project, NSFZJ and the Education Dept of Zhejiang Province.

Abstract:

This paper shows that for  2 H1(Sn−1), Marcinkiewicz integral operator μ is Lp(Rn) bounded for 1 < p < 1, which improves some known results.

Key words: Marcinkiewicz integral, rotation method, Hardy space

CLC Number: 

  • 42B20
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