References
Agmon, S., Douglis, A., Nirenberg, L.: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Commun. Pure Appl. Math.12, 623–727 (1959); II. ibid.17, 35–92 (1964)
Beals, M., Fefferman, C., Grossman, R.: Strictly pseudo-convex domains. Bull. Am. Math. Soc. (New Series),8, 125–322 (1983)
Boutet de Monvel, L.: Comportement d'un opérateur pseudo-différentiel sur una variété à bord I. J. Anal. Math.17, 241–253 (1966); II, ibid.16, 255–304 (1966)
Boutet de Monvel, L., Sjöstrand, J.: Sur la singularité des noyaux de Bergman et de Szegö. Astérisque34–35, 123–264 (1976)
Eskin, G.: Boundary value problems for elliptic pseudo-differential equations. American Mathematical Society, Providence, RI, 1981
Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–66 (1974)
Folland, G., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. Math. Stud.75, Princeton University Press 1972
Folland, G., Stein, E.M.: Estimates for the\(\bar \partial _b \)-complex and analysis on the Heisenberg group. Commun. Pure Appl. Math.27, 429–522 (1974)
Geller, D., Stein, E.M.: Singular convolution operators on the Heisenberg group. Bull. Am. Math. Soc. (New Series)6, 99–103 (1982)
Geller, D., Stein, E.M.: Estimates for singular convolution operators on the Heisenberg group. Math. Ann.267, 1–15 (1984)
Greiner, P., Stein, E.M.: A parametrix for the\(\bar \partial \)-Nuemann problem. Math. Notes,19, Princeton University Press 1977
Harvey, R., Polking, J.: The\(\bar \partial \) Neumann kernel in the ball inℂ n. Proc. Symp. Pure Math.41, 117–136 (1984)
Hörmander, L.: Linear partial differential operators. Berlin-Heidelberg: Springer-Verlag 1963
Hörmander, L.: Pseudo-differential operators and non-elliptic boundary problems. Ann. Math.83, 129–209 (1966)
Kimura, K.: Ph. D. Thesis, University of Toronto 1983
Lieb, I.: Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten, Beschränkte Lösungen. Math. Ann.190, 6–44 (1970)
Lieb, I., Range, M.: On integral representations and a priori estimates. Math. Ann.265, 221–251 (1983)
Lieb, I., Range, M.: Integral representations and estimates in the theory of the\(\bar \partial \)-Neumann problem. Ann. Math.123, 265–301 (1986)
Phong, D.H.: On integral representations for the Neumann operator. Proc. Nat. Acad. Sci. USA76, 1554–1558 (1979)
Phong, D.H., Stein, E.M.: Estimates fort the Bergman and Szegö projections on strongly pseudoconvex domains. Duke Math. J.44, 695–704 (1977)
Phong, D.H., Stein, E.M.: Some further classes of pseudo-differential and singular integral operators arising in boundary value problems I. Am. J. Math.104, 141–172 (1982)
Phong, D.H., Stein, E.M.: Singular integrals with kernels of mixed homogeneities. In: Beckner, W., Calderón, A., Fefferman, R., Jones, P. (eds.). Conference of harmonic analysis in honor of A. Zygmund. Wadsworth. Belmont CA. 1982, pp. 327–339
Phong, D.H., Stein, E.M.: Singular integrals related to the Radon transform and boundary value problems. Proc. Natl. Acad. Sci. USA80, 7697–7701 (1983)
Phong, D.H., Stein, E.M.: Hilbert integrals, singular integrals, and Radon transforms I (to appear in Acta Math.)
Rempel, S., Schulze, B.W.: Index theory of boundary value problems. Berlin: Akademie-Verlag 1983
Seeley, R.: Singular integrals and boundary problems. Am. J. Math.88, 781–809 (1966)
Stanton, N.K.: The solution of the\(\bar \partial \)-Neumann problem in a strictly pseudoconvex Siegel domain. Invent. Math.65, 137–174 (1981)
Stein, E.M.: Singular integrals and differentiality of functions. Princeton University Press 1970
Uhlmann, G.: OnL 2 estimates for singular Radon transforms (preprint, 1985)
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A.P. Sloan Fellow, also partially supported by NSF Grant DMS-84-02710
Partially supported by NSF Grant MCS-80-03072
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Phong, D.H., Stein, E.M. Hilbert integrals, singular integrals, and Radon transforms II. Invent Math 86, 75–113 (1986). https://doi.org/10.1007/BF01391496
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DOI: https://doi.org/10.1007/BF01391496