BERGMAN KERNELS OF ELEMENTARY REINHARDT DOMAINS

Debraj Chakrabarti, Austin Konkel, Meera Mainkar, Evan Miller

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We study the Bergman kernel of certain domains in C”, called elementary Reinhardt domains, generalizing the classical Hartogs triangle. For some elementary Reinhardt domains, we explicitly compute the kernel, which is a rational function of the coordinates. For some other such domains, we show that the kernel is not a rational function. For a general elementary Reinhardt domain, we obtain a representation of the kernel as an infinite series.

Original languageEnglish
Pages (from-to)67-93
Number of pages27
JournalPacific Journal of Mathematics
Volume306
Issue number1
DOIs
StatePublished - Jun 2020

Keywords

  • Bergman kernel
  • primary 32A25
  • secondary 32A07

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