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The central BMO spaces and Littlewood-Paley operators

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Approximation Theory and its Applications

Abstract

The authors give a characterization of central bounded mean oscillation space CBMO2(Rγ) in terms of the central Carleson measure. Using this character, the authors establish the CBMO2(Rγ)-boundedness for several classes of general Littlewood-Paley operators.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, PRC

    Lu Shanzhen & Yang Dachun

Authors
  1. Lu Shanzhen
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  2. Yang Dachun
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Additional information

Supported by the NNSF of China.

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Shanzhen, L., Dachun, Y. The central BMO spaces and Littlewood-Paley operators. Approx. Theory & its Appl. 11, 72–94 (1995). https://doi.org/10.1007/BF02836580

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  • DOI: https://doi.org/10.1007/BF02836580

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