References
Alvarez, J. andMilman, M.,H p continuity properties of Calderón-Zygmund type operators,J. Math. Anal. Appl. 118 (1986), 63–79.
Alvarez, J. andMilman, M., Vector valued inequalities for strongly singular Calderón-Zygmund operators,Rev. Mat. Iberoamericana 2 (1986), 405–426.
Bordin, B.,H p estimates for weakly strongly singular integral operators on spaces of homogeneous type,Studia Math. 75 (1983), 217–234.
Calderón, A. P.,Lecture notes on pseudo-differential operators and elliptic boundary value problems, I, Cursos de Matemática,1 (1976), IAM, Argentina.
Chanillo, S. andTorchinsky, A., Sharp functions and weightedL p estimates for a class of pseudo-differential operators,Ark. Mat. 24 (1986), 1–25.
Coifman, R. andMeyer, Y., Au delà des opérateurs pseudo-différentiels,Astérisque 57 (1979).
David, G. andJourné, J. L., A boundedness criterion for generalized Calderón-Zygmund operators,Ann. of Math. 120 (1984), 371–397.
Fefferman, C., Inequalities for strongly singular convolution operators,Acta Math. 123 (1969), 9–36.
Fefferman, C.,L p bounds for pseudo-differential operators,Israel J. Math. 14 (1973), 413–417.
Fefferman, C. andStein, E. M.,H p spaces of several variables,Acta Math. 129 (1972), 137–193.
Hörmander, L., Pseudo-differential operators and hypoelliptic equations,Proc. Sympos. Pure Math. 10 (1967), 138–183.
Hörmander, L., On theL 2-continuity of pseudo-differential operators,Comm. Pure Appl. Math. 24 (1971), 529–535.
Hounie, J., On theL 2-continuity of pseudo-differential operators,Comm. Partial Differential Equations 11 (1986), 765–778.
Nagase, M., TheL p-boundedness of pseudo-differential operators with non-regular symbols,Comm. Partial Differential Equations 2 (1977), 1045–1061.
Taylor, M.,Pseudo-differential operators, Princeton Univ. Press, Princeton, N. J., 1970.
Viviani, B.,Pseudo-differential operators with generalized homogeneity, Doctoral Dissertation. University of Buenos Aires, 1986.
Laptev, A., Spectral asymptotics of a class of Fourier integral operators (Russian),Trudy Moskov. Mat. Obshch. 43 (1981), 92–115.
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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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DOI: https://doi.org/10.1007/BF02387364