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.
| Original language | English |
|---|---|
| Pages (from-to) | 113-125 |
| Number of pages | 13 |
| Journal | New York Journal of Mathematics |
| Volume | 17 A |
| Publication status | Published - 2011 Sep 27 |
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Keywords
- Harmonic bergman space
- Schatten class
- Schatten-herz class
- Toeplitz operator
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Positive Schatten-Herz class Toeplitz operators on the ball. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.
In: New York Journal of Mathematics, Vol. 17 A, 27.09.2011, p. 113-125.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Positive Schatten-Herz class Toeplitz operators on the ball
AU - Choe, Boo Rim
AU - Koo, Hyung Woon
AU - Lee, Young Joo
PY - 2011/9/27
Y1 - 2011/9/27
N2 - 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.
AB - 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.
KW - Harmonic bergman space
KW - Schatten class
KW - Schatten-herz class
KW - Toeplitz operator
UR - http://www.scopus.com/inward/record.url?scp=80053088477&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053088477&partnerID=8YFLogxK
M3 - Article
VL - 17 A
SP - 113
EP - 125
JO - New York Journal of Mathematics
JF - New York Journal of Mathematics
SN - 1076-9803
ER -