数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 294-304.doi: 10.1016/S0252-9602(09)60030-8

• 论文 • 上一篇    下一篇

ROUGH MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS

伍火熊,许建开   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • 收稿日期:2006-11-19 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

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

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)

摘要:

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.

关键词: Marcinkiewicz integral, product domain, surfaces of revolution, rough kernel

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

中图分类号: 

  • 42B20