Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains
HTML articles powered by AMS MathViewer
- by Alexander Nagel, Jean-Pierre Rosay, Elias M. Stein and Stephen Wainger PDF
- Bull. Amer. Math. Soc. 18 (1988), 55-59
References
-
1. K. P. Diaz, The Szegö kernel as a singular integral kernel in a weakly pseudoconvex domain, Dissertation, Princeton Univ., 1986.
- P. C. Greiner and E. M. Stein, On the solvability of some differential operators of type $cm_{b}$, Several complex variables (Cortona, 1976/1977) Scuola Norm. Sup. Pisa, Pisa, 1978, pp. 106–165. MR 681306
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
- Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 222474, DOI 10.1007/BF02392081
- J. J. Kohn and L. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265–268. MR 330513, DOI 10.1007/BF01428194
- Alexander Nagel, Elias M. Stein, and Stephen Wainger, Boundary behavior of functions holomorphic in domains of finite type, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), no. 11, 6596–6599. MR 634936, DOI 10.1073/pnas.78.11.6596
- Alexander Nagel, Elias M. Stein, and Stephen Wainger, Balls and metrics defined by vector fields. I. Basic properties, Acta Math. 155 (1985), no. 1-2, 103–147. MR 793239, DOI 10.1007/BF02392539
- Aline Bonami and Noël Lohoué, Projecteurs de Bergman et Szegő pour une classe de domaines faiblement pseudo-convexes et estimations $L^{p}$, Compositio Math. 46 (1982), no. 2, 159–226 (French). MR 659922
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 55-59
- MSC (1985): Primary 32H10, 32H40, 42B20
- DOI: https://doi.org/10.1090/S0273-0979-1988-15598-X
- MathSciNet review: 919661