Duke Mathematical Journal

Mapping properties of the Bergman projection on convex domains of finite type

J. D. McNeal and E. M. Stein
Source: Duke Math. J. Volume 73, Number 1 (1994), 177-199.
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Primary Subjects: 32H10
Secondary Subjects: 32F15
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288612
Mathematical Reviews number (MathSciNet): MR1257282
Zentralblatt MATH identifier: 0801.32008
Digital Object Identifier: doi:10.1215/S0012-7094-94-07307-9

References

[AS] P. Ahern and R. Schneider, Holomorphic Lipschitz functions in pseudoconvex domains, Amer. J. Math. 101 (1979), no. 3, 543–565.
Mathematical Reviews (MathSciNet): MR81f:32022
Zentralblatt MATH: 0455.32008
Digital Object Identifier: doi:10.2307/2373797
[BS] L. Boutet de Monvel and J. Sjöstrand, Sur la singularité des noyaux de Bergman et de Szegő, Journées: Équations aux Dérivées Partielles de Rennes (1975), Astérisque, vol. 34-35, Soc. Math. France, Paris, 1976, pp. 123–164.
Mathematical Reviews (MathSciNet): MR58:28684
Zentralblatt MATH: 0344.32010
[CNS] D.-C. Chang, A. Nagel, and E. M. Stein, Estimates for the $\overline\partial$-Neumann problem for pseudoconvex domains in $\mathbbC^2$ of finite type, Proc. Nat. Acad. Sci. USA 85 (1988), no. 23, 8771–8774.
Mathematical Reviews (MathSciNet): MR89i:32041
Zentralblatt MATH: 0662.32015
Digital Object Identifier: doi:10.1073/pnas.85.23.8771
[Ch] M. Christ, Regularity properties of the $\overline\partial_b$ equation on weakly pseudoconvex CR manifolds of dimension $3$, J. Amer. Math. Soc. 1 (1988), no. 3, 587–646.
Mathematical Reviews (MathSciNet): MR89e:32027
Zentralblatt MATH: 0671.35017
Digital Object Identifier: doi:10.2307/1990950
[F] C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1–65.
Mathematical Reviews (MathSciNet): MR50:2562
Zentralblatt MATH: 0289.32012
Digital Object Identifier: doi:10.1007/BF01406845
[FK] C. Fefferman and J. J. Kohn, Hölder estimates on domains of complex dimension two and on three-dimensional CR manifolds, Adv. in Math. 69 (1988), no. 2, 223–303.
Mathematical Reviews (MathSciNet): MR89g:32027
Zentralblatt MATH: 0649.35068
Digital Object Identifier: doi:10.1016/0001-8708(88)90002-3
[FKM] C. Fefferman, J. J. Kohn, and M. Machedon, Hölder estimates on CR manifolds with a diagonalizable Levi form, Adv. Math. 84 (1990), no. 1, 1–90.
Mathematical Reviews (MathSciNet): MR92a:32019
Zentralblatt MATH: 0763.32004
Digital Object Identifier: doi:10.1016/0001-8708(90)90036-M
[GS] P. Greiner and E. M. Stein, Estimates for the $\overline \partial$-Neumann Problem, Math. Notes, vol. 19, Princeton University Press, Princeton, 1977.
Mathematical Reviews (MathSciNet): MR58:17218
Zentralblatt MATH: 0354.35002
[K] S. Krantz, On a theorem of Stein, Trans. Amer. Math. Soc. 320 (1990), no. 2, 625–642.
Mathematical Reviews (MathSciNet): MR91b:32026
Zentralblatt MATH: 0707.32002
Digital Object Identifier: doi:10.2307/2001693
[M] M. Machedon, Szegö kernels on pseudoconvex domains with one degenerate eigenvalue, Ann. of Math. (2) 128 (1988), no. 3, 619–640.
Mathematical Reviews (MathSciNet): MR89i:32043
Zentralblatt MATH: 0661.32028
Digital Object Identifier: doi:10.2307/1971438
[Mc1] J. D. McNeal, Estimates on the Bergman kernels of convex domains, to appear.
Mathematical Reviews (MathSciNet): MR1302759
Zentralblatt MATH: 0816.32018
Digital Object Identifier: doi:10.1006/aima.1994.1082
[Mc2] J. D. McNeal, The Bergman projection as a singular integral operator, to appear.
Mathematical Reviews (MathSciNet): MR1274139
Zentralblatt MATH: 0804.32015
[Mc3] J. D. McNeal, Boundary behavior of the Bergman kernel function in $\mathbbC^2$, Duke Math. J. 58 (1989), no. 2, 499–512.
Mathematical Reviews (MathSciNet): MR91c:32017
Zentralblatt MATH: 0675.32020
Digital Object Identifier: doi:10.1215/S0012-7094-89-05822-5
Project Euclid: euclid.dmj/1077307535
[MRSW] A. Nagel, J. P. Rosay, E. M. Stein, and S. Wainger, Estimates for the Bergman and Szegö kernels in $\mathbbC^2$, Ann. of Math. (2) 129 (1989), no. 1, 113–149.
Mathematical Reviews (MathSciNet): MR90g:32028
Zentralblatt MATH: 0667.32016
Digital Object Identifier: doi:10.2307/1971487
[PS] D. H. Phong and E. M. Stein, Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains, Duke Math. J. 44 (1977), no. 3, 695–704.
Mathematical Reviews (MathSciNet): MR56:8916
Zentralblatt MATH: 0392.32014
Digital Object Identifier: doi:10.1215/S0012-7094-77-04429-5
Project Euclid: euclid.dmj/1077312391
[S] J. Stalker, Hölder and $L^p$ estimates for $\bar \partial , \bar \partial _b$ on domains of finite type, Ph.D. dissertation, Princeton University, 1993.
[St1] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Series, vol. 30, Princeton University Press, Princeton, 1970.
Mathematical Reviews (MathSciNet): MR44:7280
Zentralblatt MATH: 0207.13501
[St2] E. M. Stein, Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc. 79 (1973), 440–445.
Mathematical Reviews (MathSciNet): MR47:3851
Zentralblatt MATH: 0257.35040
Digital Object Identifier: doi:10.1090/S0002-9904-1973-13205-7
Project Euclid: euclid.bams/1183534462

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