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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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

Author(s): Alexander Nagel; Jean-Pierre Rosay; Elias M. Stein; Stephen Wainger
Journal: Bull. Amer. Math. Soc. 18 (1988), 55-59.
MSC (1985): Primary 32H10, 32H40, 42B20
MathSciNet review: 919661
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References | Similar articles | Additional information

References:

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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Additional Information:

DOI: 10.1090/S0273-0979-1988-15598-X
PII: S 0273-0979(1988)15598-X


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