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A Comparison Principle for Bergman Kernels

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Book cover Analysis Meets Geometry

Part of the book series: Trends in Mathematics ((TM))

Abstract

We give a version of the comparison principle from pluripotential theory where the Monge–Ampère measure is replaced by the Bergman kernel and use it to derive a maximum principle.

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Correspondence to Bo Berndtsson .

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Berndtsson, B. (2017). A Comparison Principle for Bergman Kernels. In: Andersson, M., Boman, J., Kiselman, C., Kurasov, P., Sigurdsson, R. (eds) Analysis Meets Geometry. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-52471-9_8

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