Some theorems about the Riesz fractional integral
HTML articles powered by AMS MathViewer
- by Nicolaas du Plessis
- Trans. Amer. Math. Soc. 80 (1955), 124-134
- DOI: https://doi.org/10.1090/S0002-9947-1955-0086938-3
- PDF | Request permission
References
- Marcel Riesz, L’intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. 81 (1949), 1–223 (French). MR 30102, DOI 10.1007/BF02395016
- G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals. I, Math. Z. 27 (1928), no. 1, 565–606. MR 1544927, DOI 10.1007/BF01171116
- Nicolaas du Plessis, A theorem about fractional integrals, Proc. Amer. Math. Soc. 3 (1952), 892–898. MR 51909, DOI 10.1090/S0002-9939-1952-0051909-2 O. Frostman, Potentiel d’equilibre et capacité des ensembles, Meddel. fran Lunds Univ. Mat. Sem. vol. 3 (1935) pp. 1-118.
- R. Salem and A. Zygmund, Capacity of sets and Fourier series, Trans. Amer. Math. Soc. 59 (1946), 23–41. MR 15537, DOI 10.1090/S0002-9947-1946-0015537-9
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- 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