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A new characterization of RBMO(μ) by John-Strömberg sharp maximal functions

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Abstract

Let μ be a nonnegative Radon measure on ℝd which only satisfies μ (B(x, r)) ⩽ C 0 r n for all x ∈ ℝd, r > 0, with some fixed constants C 0 > 0 and n ∈ (0, d]. In this paper, a new characterization for the space RBMO(μ) of Tolsa in terms of the John-Strömberg sharp maximal function is established.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747, Zhengzhou, 450002, People’s Republic of China

    Guoen Hu

  2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People’s Republic of China

    Dachun Yang & Dongyong Yang

Authors
  1. Guoen Hu
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  2. Dachun Yang
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  3. Dongyong Yang
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Correspondence to Dachun Yang.

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Hu, G., Yang, D. & Yang, D. A new characterization of RBMO(μ) by John-Strömberg sharp maximal functions. Czech Math J 59, 159–171 (2009). https://doi.org/10.1007/s10587-009-0011-9

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  • DOI: https://doi.org/10.1007/s10587-009-0011-9

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