TY - JOUR
T1 - Positive Toeplitz operators of Schatten-Herz type
AU - Choe, Boorim
AU - Koo, Hyungwoon
AU - Na, Kyunguk
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2007
Y1 - 2007
N2 - Motivated by a recent work of Loaiza et al. for the holomorphic case on the disk, we introduce and study the notion of Schatten-Herz type Toeplitz operators acting on the harmonic Bergman space of the ball. We obtain characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions. Our characterization in terms of Berezin transforms settles a question posed by Loaiza et al.
AB - Motivated by a recent work of Loaiza et al. for the holomorphic case on the disk, we introduce and study the notion of Schatten-Herz type Toeplitz operators acting on the harmonic Bergman space of the ball. We obtain characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions. Our characterization in terms of Berezin transforms settles a question posed by Loaiza et al.
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U2 - 10.1017/s0027763000025733
DO - 10.1017/s0027763000025733
M3 - Article
AN - SCOPUS:33947589071
SN - 0027-7630
VL - 185
SP - 31
EP - 62
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
ER -