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L P (Rn) boundedness for the Marcinkiewicz integral

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Analysis in Theory and Applications

Abstract

Lp (Rn) boundedness is considered for the higher-dimensional Marcinkiewicz integral which was introduced by Stein. Some conditions implying the Lp(Rn) boundedness for the Marcinkiewicz integral are obtained.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Information Engineering, P. O. Box 1001-747, 450002, Zhengzhou, P. R. China

    Hu Guoen

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  1. Hu Guoen
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Correspondence to Hu Guoen.

Additional information

The research was supported by the NSF of Henan Province.

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Guoen, H. L P (Rn) boundedness for the Marcinkiewicz integral. Approx. Theory & its Appl. 18, 86–93 (2002). https://doi.org/10.1007/BF02845277

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  • DOI: https://doi.org/10.1007/BF02845277

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