Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 228-234.

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Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces 

  

  • Received:2006-01-12 Online:2008-06-30 Published:2023-10-07
  • About author: XIE Ru-long(1982-), male, native of Huaining, Anhui, M.S.D., engages in harmonic analysis; SHU Li-sheng(1955-), male, native of Shucheng, Anhui, a professor of Anhui Normal University, Ph.D., engages in harmonic analysis.
  • Supported by:
     Supported by NSF of China(10371087); Supported by the NSF of Education Committee
    of Anhui Province(KJ2007A009); Supported by the NSF of Anhui Province(07021019)

Abstract: In this paper, it is proved that the Marcinkiewicz integral operator μΩ is bounded on Kqα,p12).

Key words: Marcinkiewicz integral, weighted Herz space, A1 weight

CLC Number: