East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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BERGMAN KERNEL ESTIMATES FOR GENERALIZED FOCK SPACES

  • Cho, Hong Rae (Department of Mathematics, Pusan National University) ;
  • Park, Soohyun (Department of Mathematics, Pusan National University)
  • Received : 2016.11.07
  • Accepted : 2016.12.19
  • Published : 2017.01.31
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Abstract

We will prove size estimates of the Bergman kernel for the generalized Fock space ${\mathcal{F}}^2_{\varphi}$, where ${\varphi}$ belongs to the class $\mathcal{W} $. The main tool for the proof is to use the estimate on the canonical solution to the ${\bar{\partial}}$-equation. We use Delin's weighted $L^2$-estimate ([3], [6]) for it.

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References

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