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arxiv: 1109.3484 · v1 · pith:AJ7MBNVQnew · submitted 2011-09-15 · 🧮 math.CV

On the Szego metric

classification 🧮 math.CV
keywords invariantmetricszegobergmanabsolutelyassembledbiholomorphicallycarath
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We introduce a new biholomorphically invariant metric based on Fefferman's invariant Szego kernel and investigate the relation of the new metric to the Bergman and Carath\'eodory metrics. A key tool is a new absolutely invariant function assembled from the Szego and Bergman kernels.

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