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Bulletin of the American Mathematical Society

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Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains

Authors: Alexander Nagel, Jean-Pierre Rosay, Elias M. Stein and Stephen Wainger
Journal: Bull. Amer. Math. Soc. 18 (1988), 55-59
MSC (1985): Primary 32H10, 32H40, 42B20
MathSciNet review: 919661
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  • 1. K. P. Diaz, The Szegö kernel as a singular integral kernel in a weakly pseudoconvex domain, Dissertation, Princeton Univ., 1986.
  • 2. P. C. Greiner and E. M. Stein, On the solvability of some differential operators of typeb, Proc. Conf. (Cortona, Italy, 1976-1977), Scuola Normale Superiore, Pisa, pp. 106-165. MR 681306
  • 3. S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. MR 145455
  • 4. L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171. MR 222474
  • 5. J. J. Kohn and L. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265-268. MR 330513
  • 6. A. Nagel, E. M. Stein and S. Wainger, Boundary behavior of functions holomorphic in domains of finite type, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), 6596-6599. MR 634936
  • 7. A. Nagel, E. M. Stein and S. Wainger, Balls and metrics defined by vector fields. I: Basic properties, Acta. Math. 155 (1985), 103-147. MR 793239
  • 8. A. Bonami and N. Lohové, Projecteurs de Bergman et Szegő pour une classe de domaines faiblement pseudo-convexes et estimations Lp, Compositio Math. 46 (1982), 159-226. MR 659922

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