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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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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 type □b, 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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