On commutators of singular integrals and bilinear singular integrals
HTML articles powered by AMS MathViewer
- by R. R. Coifman and Yves Meyer PDF
- Trans. Amer. Math. Soc. 212 (1975), 315-331 Request permission
Abstract:
${L^p}$ estimates for multilinear singular integrals generalizing Calderón’s commutator integral are obtained. The methods introduced involve Fourier and Mellin analysis.References
- B. Bajšanski and R. Coifman, On singular integrals, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 1–17. MR 0238129 —, Pointwise estimates for commutator singular integrals (to appear).
- 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 Calixto P. Calderón, On commutators of singular integrals (to appear).
- R. R. Coifman, Distribution function inequalities for singular integrals, Proc. Nat. Acad. Sci. U.S.A. 69 (1972), 2838–2839. MR 303226, DOI 10.1073/pnas.69.10.2838 —, Characterizations of Fourier transforms of Hardy Spaces (to appear).
- C. Fefferman and E. M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215
- Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 212 (1975), 315-331
- MSC: Primary 42A40; Secondary 44A15
- DOI: https://doi.org/10.1090/S0002-9947-1975-0380244-8
- MathSciNet review: 0380244