Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

Charles L. Fefferman

doi:10.2307/1970945

Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

Annals of Mathematics ◽

10.2307/1970945 ◽

1976 ◽

Vol 103 (3) ◽

pp. 395 ◽

Cited By ~ 151

Author(s):

Charles L. Fefferman

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains ◽

Monge Ampere

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Correction to "Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains"

Annals of Mathematics ◽

10.2307/1970961 ◽

1976 ◽

Vol 104 (3) ◽

pp. 393 ◽

Cited By ~ 14

Author(s):

C. Fefferman

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains ◽

Monge Ampere

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An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30289-x ◽

1990 ◽

Vol 7 (5) ◽

pp. 493-503 ◽

Cited By ~ 1

Author(s):

N.D. Kutev ◽

I.P. Ramadanov

Keyword(s):

Eigenvalue Problem ◽

Pseudoconvex Domains ◽

Monge Ampere

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The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains

Complex Analysis and Operator Theory ◽

10.1007/s11785-021-01178-4 ◽

2021 ◽

Vol 15 (8) ◽

Author(s):

Nguyen Xuan Hong ◽

Pham Thi Lieu

Keyword(s):

Dirichlet Problem ◽

Pseudoconvex Domains ◽

Monge Ampere

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The Bergman kernel on uniformly extendable pseudoconvex domains

Mathematische Annalen ◽

10.1007/bf01450734 ◽

1986 ◽

Vol 273 (3) ◽

pp. 471-478 ◽

Cited By ~ 24

Author(s):

Klas Diederich ◽

Gregor Herbort ◽

Takeo Ohsawa

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains

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Asymptotic behavior of the Bergman kernel and associated invariants in certain inænite type pseudoconvex domains

Forum Mathematicum ◽

10.1515/form.2002.033 ◽

2002 ◽

Vol 14 (5) ◽

Cited By ~ 2

Author(s):

Kang-Tae Kim ◽

Sunhong Lee

Keyword(s):

Asymptotic Behavior ◽

Bergman Kernel ◽

Pseudoconvex Domains

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Estimates of the Bergman kernel for some pseudoconvex domains

Journal of Mathematical Sciences ◽

10.1007/bf02355832 ◽

1997 ◽

Vol 87 (5) ◽

pp. 3925-3940

Author(s):

N. A. Shirokov

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains

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Boundary regularity of the solution to the complex Monge-Ampère equation on pseudoconvex domains of infinite type

Mathematical Research Letters ◽

10.4310/mrl.2015.v22.n2.a7 ◽

2015 ◽

Vol 22 (2) ◽

pp. 467-484 ◽

Cited By ~ 4

Author(s):

Ly Kim Ha ◽

Tran Vu Khanh

Keyword(s):

Boundary Regularity ◽

Pseudoconvex Domains ◽

Infinite Type ◽

Monge Ampere

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On the Bergman kernel and biholomorphic mappings of pseudoconvex domains

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1974-13539-1 ◽

1974 ◽

Vol 80 (4) ◽

pp. 667-670 ◽

Cited By ~ 3

Author(s):

Charles Fefferman

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains

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Hölder continuous solutions to the complex Monge–Ampère equations in non-smooth pseudoconvex domains

Analysis and Mathematical Physics ◽

10.1007/s13324-017-0175-7 ◽

2017 ◽

Vol 8 (3) ◽

pp. 465-484 ◽

Cited By ~ 5

Author(s):

Nguyen Xuan Hong ◽

Tran Van Thuy

Keyword(s):

Pseudoconvex Domains ◽

Continuous Solutions ◽

Hölder Continuous ◽

Monge Ampere

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The Bergman kernel on certain weakly pseudoconvex domains

Mathematische Zeitschrift ◽

10.1007/bf02572599 ◽

1995 ◽

Vol 220 (1) ◽

pp. 1-9

Author(s):

Nicholas Watts Gebelt

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains ◽

Weakly Pseudoconvex

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