BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

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 Cn. And we provide the integral estimates concerning plurihar-monic kernel functions. Using this, we nally obtain the growth estimates of the Berezin transforms...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2012, 49(4), , pp.829-842
1. Verfasser: Cho, Chu-Hee
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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 Cn. And we provide the integral estimates concerning plurihar-monic kernel functions. Using this, we nally obtain the growth estimates of the Berezin transforms on such Herz spaces. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2012.49.4.829