Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (2): 294-304.doi: 10.1016/S0252-9602(09)60030-8

• Articles • Previous Articles     Next Articles

ROUGH MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS

Wu Huoxiong, Xu Jiankai   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2006-11-19 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Supported by the NSF of China (G10571122) and the NFS of Fujian Province of China (Z0511004)

Abstract:

In this article, certain Marcinkiewicz integral operators associated to surfaces of revolution on product domains were studied. The Lp boundedness for these operators are established under some rather weak conditions on kernels. The main results essentially improve and extend some known results.

Key words: Marcinkiewicz integral, product domain, surfaces of revolution, rough kernel

CLC Number: 

  • 42B20
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