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Transactions of the American Mathematical Society

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Some theorems about the Riesz fractional integral


Author: Nicolaas du Plessis
Journal: Trans. Amer. Math. Soc. 80 (1955), 124-134
MSC: Primary 44.0X
DOI: https://doi.org/10.1090/S0002-9947-1955-0086938-3
MathSciNet review: 0086938
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References [Enhancements On Off] (What's this?)

  • [1] M. Riesz, L'intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. vol. 81 (1950) pp. 1-222. MR 0030102 (10:713c)
  • [2] G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals, Math. Zeit. vol. 27 (1928) pp. 565-606. MR 1544927
  • [3] N. du Plessis, A theorem about fractional integrals, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 892-898. MR 0051909 (14:546a)
  • [4] O. Frostman, Potentiel d'equilibre et capacité des ensembles, Meddel. fran Lunds Univ. Mat. Sem. vol. 3 (1935) pp. 1-118.
  • [5] R. Salem and A. Zygmund, Capacity of sets and Fourier series, Trans. Amer. Math. Soc. vol. 59 (1946) pp. 23-41. MR 0015537 (7:434h)

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DOI: https://doi.org/10.1090/S0002-9947-1955-0086938-3
Article copyright: © Copyright 1955 American Mathematical Society

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