How to prove Fefferman's theorem without use of differential geometry

DOI10.4064/ap-39-1-117-130zbMath0489.32016OpenAlexW968962030WikidataQ115218303 ScholiaQ115218303MaRDI QIDQ3950810

Ewa Ligocka

Publication date: 1981

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-39-1-117-130

zbMATH Keywords

Bergman kernelstrictly pseudoconvex domainscontinuation of biholomorphic mappingFefferman's theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) (q)-convexity, (q)-concavity (32F10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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A precise result on the boundary regularity of biholomorphic mappings ⋮ Biholomorphic maps of the direct product of domains ⋮ Applications of Bergman representative coordinates ⋮ Boundary regularity of proper holomorphic mappings ⋮ Non-vanishing of the Bergman kernel function at boundary points of certain domains in \(\mathbb{C}^n\) ⋮ A simplification and extension of Fefferman's theorem on biholomorphic mappings ⋮ Hyperbolicity of circular domains ⋮ Smooth extendability of proper holomorphic mappings

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