On the Szego metric

2011/09/15 by Barrett, David, Lee, Lina
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.3484

Abstract

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 Carathéodory metrics. A key tool is a new absolutely invariant function assembled from the Szego and Bergman kernels.

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