The Bergman kernel and biholomorphic mappings of pseudoconvex domains

@article{Fefferman1974TheBK,
  title={The Bergman kernel and biholomorphic mappings of pseudoconvex domains},
  author={Charles Fefferman},
  journal={Inventiones mathematicae},
  year={1974},
  volume={26},
  pages={1-65}
}
  • C. Fefferman
  • Published 1 March 1974
  • Mathematics
  • Inventiones mathematicae
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497 Citations
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References

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The Bergman kernel function. Differentiability at the boundary
Topologische Fortsetzung biholomorpher Funktionen auf dem Rande bei beschränkten streng-pseudokonvexen Gebieten im ℂn mitC∞-Rand
L2 estimates and existence theorems for the $$\bar \partial $$ operator
Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudo-konvexen Gebieten
The Neumann problem for the Cauchy-Riemann complex
Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann…
Boundary Behavior of Holomorphic Functions of Several Complex Variables.
This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one…
Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains in C[n] with smooth boundary
The Carathe'odory and Kobayashi distance functions on a bounded domain G in Cn have related infinitesimal forms. These are the Caratheodory and Kobayashi metrics. They are denoted by F(z, t) Oength…
Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries
0. Introduction. Here we briefly sketch the background of the problem to be considered, and refer to Folland-Kohn [4] for definitions and proofs. Let X be the boundary of a strongly pseudoconvex…
BOUNDARY BEHAVIOR OF THE CARATHÉODORY, KOBAYASHI, AND BERGMAN METRICS ON STRONGLY PSEUDOCONVEX DOMAINS IN C" WITH SMOOTH BOUNDARY
FB{zA) = {ds\z^)f in the notation of [4]. We consider the boundary behavior of these metrics for fixed £. The notable features are (i) the different limiting behavior in tangential and normal…