[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.4.829

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)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 829-842 More about this Journal

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.

Keywords

Berezin transform; Schatten space; Herz space;

Citations & Related Records

Reference

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