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Estimates for the kernel and continuity properties of pseudo-differential operators

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Arkiv för Matematik

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References

  1. Alvarez, J. andMilman, M.,H p continuity properties of Calderón-Zygmund type operators,J. Math. Anal. Appl. 118 (1986), 63–79.

    Article  MATH  MathSciNet  Google Scholar 

  2. Alvarez, J. andMilman, M., Vector valued inequalities for strongly singular Calderón-Zygmund operators,Rev. Mat. Iberoamericana 2 (1986), 405–426.

    MATH  MathSciNet  Google Scholar 

  3. Bordin, B.,H p estimates for weakly strongly singular integral operators on spaces of homogeneous type,Studia Math. 75 (1983), 217–234.

    MATH  MathSciNet  Google Scholar 

  4. Calderón, A. P.,Lecture notes on pseudo-differential operators and elliptic boundary value problems, I, Cursos de Matemática,1 (1976), IAM, Argentina.

    MATH  Google Scholar 

  5. Chanillo, S. andTorchinsky, A., Sharp functions and weightedL p estimates for a class of pseudo-differential operators,Ark. Mat. 24 (1986), 1–25.

    Article  MATH  MathSciNet  Google Scholar 

  6. Coifman, R. andMeyer, Y., Au delà des opérateurs pseudo-différentiels,Astérisque 57 (1979).

  7. David, G. andJourné, J. L., A boundedness criterion for generalized Calderón-Zygmund operators,Ann. of Math. 120 (1984), 371–397.

    Article  MathSciNet  Google Scholar 

  8. Fefferman, C., Inequalities for strongly singular convolution operators,Acta Math. 123 (1969), 9–36.

    MathSciNet  Google Scholar 

  9. Fefferman, C.,L p bounds for pseudo-differential operators,Israel J. Math. 14 (1973), 413–417.

    Article  MATH  MathSciNet  Google Scholar 

  10. Fefferman, C. andStein, E. M.,H p spaces of several variables,Acta Math. 129 (1972), 137–193.

    Article  MATH  MathSciNet  Google Scholar 

  11. Hörmander, L., Pseudo-differential operators and hypoelliptic equations,Proc. Sympos. Pure Math. 10 (1967), 138–183.

    Google Scholar 

  12. Hörmander, L., On theL 2-continuity of pseudo-differential operators,Comm. Pure Appl. Math. 24 (1971), 529–535.

    Article  MATH  MathSciNet  Google Scholar 

  13. Hounie, J., On theL 2-continuity of pseudo-differential operators,Comm. Partial Differential Equations 11 (1986), 765–778.

    Article  MATH  MathSciNet  Google Scholar 

  14. Nagase, M., TheL p-boundedness of pseudo-differential operators with non-regular symbols,Comm. Partial Differential Equations 2 (1977), 1045–1061.

    Article  MATH  MathSciNet  Google Scholar 

  15. Taylor, M.,Pseudo-differential operators, Princeton Univ. Press, Princeton, N. J., 1970.

    Google Scholar 

  16. Viviani, B.,Pseudo-differential operators with generalized homogeneity, Doctoral Dissertation. University of Buenos Aires, 1986.

  17. Laptev, A., Spectral asymptotics of a class of Fourier integral operators (Russian),Trudy Moskov. Mat. Obshch. 43 (1981), 92–115.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Florida Atlantic University, 33431, Boca Raton, FL, USA

    Josefina Alvarez

  2. Depto. de Matemática UFPE, Cidade Universitária, 51730, Recife, PE, Brasil

    Jorge Hounie

Authors
  1. Josefina Alvarez
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  2. Jorge Hounie
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Partly supported by CNPq.

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Alvarez, J., Hounie, J. Estimates for the kernel and continuity properties of pseudo-differential operators. Ark. Mat. 28, 1–22 (1990). https://doi.org/10.1007/BF02387364

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