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The $ L\sb{p}$ convergence of Fourier-Bessel series for $ 0<p<1$


Author: Charles Standish
Journal: Proc. Amer. Math. Soc. 8 (1957), 484-486
MSC: Primary 41.00
DOI: https://doi.org/10.1090/S0002-9939-1957-0094637-4
MathSciNet review: 0094637
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References [Enhancements On Off] (What's this?)

  • [1] L. H. Loomis, A note on the Hilbert transform, Bull. Amer. Math. Soc[ill] vol. 52 (1946) pp. 1082-1086. MR 0019155 (8:377d)
  • [2] G. Wing, The mean convergence of orthogonal series, Amer. J. Math. vol. 72 (1950) pp. 792-808. MR 0037923 (12:329e)
  • [3] A. Zygmund, Trigonometrical series, Warsaw, 1935.
  • [4] G. N. Watson, A treatise on the theory of Bessel functions, Cambridge, 1944. MR 0010746 (6:64a)

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DOI: https://doi.org/10.1090/S0002-9939-1957-0094637-4
Article copyright: © Copyright 1957 American Mathematical Society

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