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Multipliers of F(LP)

Part of the Lecture Notes in Mathematics book series (LNM,volume 779)

Keywords

  • Maximal Function
  • Fourier Multiplier
  • Multiplier Operator
  • Multiple Fourier Series
  • Tauberian Condition

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

  1. Carleson, L. and Sjölin, P., Oscillatory integrals and a multiplier problem for the disc, Studia Math. 1972.

    Google Scholar 

  2. Córdoba, A., The Kakeya maximal function and the spherical summation multipliers, Amer. J. of Math. 1977.

    Google Scholar 

  3. —, A note on Bochner-Riesz operators, Duke. Math. J. 1979.

    Google Scholar 

  4. Fefferman, C., A note on spherical summation multipliers, Isr. J. of Math. 1973.

    Google Scholar 

  5. —, The multiplier problem for the ball, Annals of Math. 1972.

    Google Scholar 

  6. —, Inequalities for strongly singular convolution operators, Acta. Math. 1970.

    Google Scholar 

  7. Herz, C., On the mean inversion of Fourier and Hankel transforms, P.N.A.S. 1954.

    Google Scholar 

  8. Zygmund, A., On Fourier coefficients and transforms of functions of two variables, Studia Math. 1974.

    Google Scholar 

References

  1. Córdoba, A. and Fefferman, R., On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis, P.N.A.S., USA, 1977.

    MATH  Google Scholar 

  2. —, On differentiation of integrals, P.N.A.S., USA, 1977.

    MATH  Google Scholar 

  3. Kenig, C. and Tomas, P., to appear.

    Google Scholar 

  4. Nagel, A., Stein, E., and Wainger, S., Differentiation along lacunary directions, P.N.A.S., USA, 1978.

    MATH  Google Scholar 

  5. Ruiz, A., Thesis, University of Madrid.

    Google Scholar 

  6. Córdoba, A., The multiplier problem for the polygon, Annals of Math. 1977.

    Google Scholar 

  7. Stromberg, J., Maximal functions for rectangles with given directions, Mittag-Leffler Inst. (1976).

    Google Scholar 

  8. Córdoba, A. and Fefferman, C., A weighted norm inequality for singular integrals, Studia Math. 57 (1976).

    Google Scholar 

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© 1980 Springer-Verlag

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Córdoba, A. (1980). Multipliers of F(LP). In: Benedetto, J.J. (eds) Euclidean Harmonic Analysis. Lecture Notes in Mathematics, vol 779. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087672

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  • DOI: https://doi.org/10.1007/BFb0087672

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09748-8

  • Online ISBN: 978-3-540-38602-5

  • eBook Packages: Springer Book Archive