BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

作者:Cho Chu Hee*; Na Kyunguk
来源:Journal of the Korean Mathematical Society, 2012, 49(4): 829-842.
DOI:10.4134/JKMS.2012.49.4.829

摘要

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 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.

  • 出版日期2012-7

全文