Holomorphic Invariants of Bounded Domains

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In this survey paper, we give a review of some recent developments on holomorphic invariants of bounded domains, which include squeezing functions, Fridman’s invariants, p-Bergman kernels, and spaces of \(L^p\) integrable holomorphic functions.

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The authors thank the referee for drawing the references [40] and [3] to our attention. The first author is partially supported by the University of Chinese Academy of Sciences and by NSFC Grants. The second author was partially supported by the Fundamental Research Funds for the Central Universities and by the NSFC Grant NSFC-11701031. The third and fourth authors are partially supported by NSFC Grants.

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Correspondence to Liyou Zhang.

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Deng, F., Wang, Z., Zhang, L. et al. Holomorphic Invariants of Bounded Domains. J Geom Anal (2019).

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  • Squeezing function
  • Fridman invariant
  • p-Bergman kernel
  • Plurisubharmonic variation

Mathematics Subject Classification

  • 32F45
  • 32H02