Convex floating bodies as approximations of Bergman sublevel sets on tube domains

Gupta, Purvi

doi:10.1090/proc/13573

Convex floating bodies as approximations of Bergman sublevel sets on tube domains
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Proc. Amer. Math. Soc. 145 (2017), 4385-4396 Request permission

Abstract:

For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associate a new affine invariant to any convex body.

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