Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

  • Cho, Chu-Hee (School of Mathematical Sciences Seoul National University) ;
  • Na, Kyun-Guk (General Education, Mathematics Hanshin University)
  • Received : 2011.05.21
  • Published : 2012.07.01
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Abstract

In this paper, we give the condition for the boundedness of the Berezin transforms on Herz spaces with a normal weight on the unit ball of $\mathbb{C}^n$. And we provide the integral estimates concerning pluriharmonic kernel functions. Using this, we finally obtain the growth estimates of the Berezin transforms on such Herz spaces.

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References

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