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Positive Schatten-Herz class Toeplitz operators on the ball

Authors
Choe, Boo RimKoo, HyungwoonLee, Young Joo
Issue Date
2011
Publisher
ELECTRONIC JOURNALS PROJECT
Keywords
Toeplitz operator; Harmonic Bergman space; Schatten class; Schatten-Herz class
Citation
NEW YORK JOURNAL OF MATHEMATICS, v.17A, pp.113 - 125
Indexed
SCOPUS
Journal Title
NEW YORK JOURNAL OF MATHEMATICS
Volume
17A
Start Page
113
End Page
125
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/115077
ISSN
1076-9803
Abstract
On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten-Herz class operator in terms of averaging functions and Berezin transforms.
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