J. Korean Math. Soc. 2012; 49(4): 829-842
Printed July 1, 2012
https://doi.org/10.4134/JKMS.2012.49.4.829
Copyright © The Korean Mathematical Society.
Chu-Hee Cho and Kyunguk Na
Seoul National University, Hanshin University
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.
Keywords: Berezin transform, Schatten space, Herz space
MSC numbers: Primary 31B10
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