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Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis on Lipschitz curves

Part of the Lecture Notes in Mathematics book series (LNM,volume 779)

Keywords

  • Hardy Space
  • Pseudodifferential Operator
  • Lipschitz Domain
  • Singular Integral Operator
  • Carleson Measure

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References

  1. Calderón, A. P., "Commutators of singular integral operators", Proc. Nat. Acad. Sci. U.S.A. 53 (1965) 1092–1099.

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  2. _____, "Algebras of singular integral operators", Proc. Symp. Pure Math. 10 (1966) 18–55.

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  3. _____, "Cauchy integrals on Lipschitz curves and related operators", Proc. Nat. Acad. Sci. U.S.A. 74 (1977) 1324–1327.

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  4. Coifman, R. and Meyer Y., "On commutators of singular integrals and bilinear singular integrals", Trans. A.M.S. 212 (1975) 315–331.

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  5. _____, "Au dela des operateurs pseudo-differentiels", Asterisque 57 (1978).

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  6. Fefferman, C. and Stein, E.M., "Hp spaces of several variables", Acta. Math. 129 (1972) 137–193.

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  7. Kenig, C.E., "Hp spaces of Lipschitz domains", Thesis, U. of Chicago 1977.

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  8. Stein, E.M., Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J. (1970).

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© 1980 Springer-Verlag

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Coifman, R.R., Meyer, Y. (1980). Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis on Lipschitz curves. In: Benedetto, J.J. (eds) Euclidean Harmonic Analysis. Lecture Notes in Mathematics, vol 779. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087669

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  • DOI: https://doi.org/10.1007/BFb0087669

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09748-8

  • Online ISBN: 978-3-540-38602-5

  • eBook Packages: Springer Book Archive