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On almost everywhere summability of conjugate Bochner-Riesz means

  • Wu Zhaoji
Article
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Abstract

In this paper, we discuss the conjugate Bochner-Riesz means and get 4 theorems.

Keywords

Maximal Operator Fractional Integral Pointwise Convergence Critical Index Translation Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Lu Shanzhen & Wang Kunyang, Bochner-Riesz Means, Beijing Norml University Press, 1988 (Chinese).Google Scholar
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    Stein, E. M., & Weiss, G. Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971.Google Scholar
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    Carbery, A., The boundedness of the Maximal Bochner-Riesz Operators onL 4(R2), Duke Math. J. 50(1983), 409–416.MATHCrossRefMathSciNetGoogle Scholar
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    Carbery, A., Rubio de Fracia J. L., & Vega, L., Almost Everywhere Summability of Fourier Integrals, J. London Math. Soc. (2)38(1988), 513–524.MATHMathSciNetGoogle Scholar
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    Muckenhoupt, B., & Wheeden, R. L., Weighted Norm Inequalities for Singular and Fractional Integrals, Trans. Amer. Math. Soc. 161(1971), 249–258.MATHCrossRefMathSciNetGoogle Scholar
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    Chang, C. P., On Certain Exponential Sums Arising in Conjugate Multiple Fourier Series, Ph. D. dissertation, University of Chicago, Chicago, 1964.Google Scholar

Copyright information

© Springer 2000

Authors and Affiliations

  • Wu Zhaoji
    • 1
  1. 1.Suzhou Vocational CollegeSuzhouPRC

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