Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (4): 393-398.

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A Note on the BMO Space with Non-doubling Measure

  

  1. Department of Applied Mathematics, PL A University of Information Engineering, Zhengzhou 450002, China
  • Received:2003-03-18 Online:2004-12-30 Published:2024-03-05
  • About author:CHU Ze-fu(1944-),male,native of Liaocheng,Shandong,a professor of PLA University of Infornation Engineering,M.S.D.,engages in function spaces and differential equation;LE Fu-long(1965-),male, native of Yongxiu,Jiangxi,an associate professor of PLA University of Information Engineering,engages in function spaces and differential equation.
  • Supported by:
    SupportedbytheNSFofHenanProvince(0111050300);

Abstract: Let μ be a positive Radon measure which only satisfies an appropriate growth condition, and RBMO(μ) be the BMO space associated with μ which was introduced by Tolsa. In this paper, it is proved that the definition of RBMO(ρ) can be weakened sufficiently.

Key words: RBMO(μ), non doubling measure, doubling cube

CLC Number: