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Transactions of the American Mathematical Society

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On a problem of Mihlin


Authors: A. P. Calderón and A. Zygmund
Journal: Trans. Amer. Math. Soc. 78 (1955), 209-224
MSC: Primary 42.4X
Addendum: Trans. Amer. Math. Soc. 84 (1957), 559-560.
MathSciNet review: 0068028
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  • [1] S. Bochner, Theta relations with spherical harmonics, Proc. Nat. Acad. Sci. U. S. A. 37 (1951), 804–808. MR 0048633
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  • [3] G. Giraud, Sur une classe générale d'équations à intégrales principales, C. R. Acad. Sci. Paris vol. 202 (1936) pp. 2124-2125.
  • [4] E. Heine, Handbuch der Kugelfunktionen, vols. I and II, 2d ed., Berlin, 1878, 1888.
  • [5] S. G. Mihlin, Singular integral equations, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 3(25), 29–112 (Russian). MR 0027429
  • [6] S. G. Mihlin, Concerning a theorem on boundedness of a singular integral operator, Uspehi Matem. Nauk (N.S.) 8 (1953), no. 1(53), 213–217 (Russian). MR 0053369
  • [7] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
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  • [9] G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
  • [10] A. Zygmund, Trigonometrical series, Warsaw, 1935.

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DOI: https://doi.org/10.1090/S0002-9947-1955-0068028-9
Article copyright: © Copyright 1955 American Mathematical Society