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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Commutators of singular integrals with $C^{1}$-kernels
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by E. B. Fabes, W. Littman and N. M. Rivi猫re PDF
Proc. Amer. Math. Soc. 48 (1975), 397-402 Request permission

Abstract:

The commutator of two Calder贸n-Zygmund singular integral operators is shown to be smoothing of order one under reduced smoothness assumptions on the kernels.
References
    A. P. Calder贸n, Integrales singulares y sus applicaciones a ecuaciones hyperbolicas, Cursos y seminarios de mathematica, fasc. 3, Universidad de Buenos Aires.
  • A.-P. Calder贸n, Commutators of singular integral operators, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1092鈥1099. MR 177312, DOI 10.1073/pnas.53.5.1092
  • A.-P. Calder贸n, Algebras of singular integral operators, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp.聽18鈥55. MR 0394309
  • A. P. Calder贸n and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289鈥309. MR 84633, DOI 10.2307/2372517
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 397-402
  • MSC: Primary 47G05; Secondary 44A25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0377601-8
  • MathSciNet review: 0377601