Commutators of singular integrals with $C^{1}$-kernels
HTML articles powered by AMS MathViewer
- by E. B. Fabes, W. Littman and N. M. Rivière PDF
- Proc. Amer. Math. Soc. 48 (1975), 397-402 Request permission
Abstract:
The commutator of two Calderón-Zygmund singular integral operators is shown to be smoothing of order one under reduced smoothness assumptions on the kernels.References
-
A. P. Calderón, Integrales singulares y sus applicaciones a ecuaciones hyperbolicas, Cursos y seminarios de mathematica, fasc. 3, Universidad de Buenos Aires.
- A.-P. Calderón, Commutators of singular integral operators, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1092–1099. MR 177312, DOI 10.1073/pnas.53.5.1092
- A.-P. Calderón, Algebras of singular integral operators, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 18–55. MR 0394309
- A. P. Calderón and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289–309. MR 84633, DOI 10.2307/2372517
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