| |
|
Boo Rim Choe, Hyungwoon Koo, and Young Joo Lee
Positive Schatten-Herz class Toeplitz operators on the ball view print
|
|
| Published: |
January 30, 2011 |
| Keywords: |
Toeplitz operator, Harmonic Bergman space, Schatten class, Schatten-Herz class. |
| Subject: |
Primary 47B35, Secondary 31B05 |
|
|
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.
|
|
| Acknowledgements
The first two authors were supported by Mid-career Researcher Program through NRF grant funded by the MEST (R01-2008-000-20206-0)
|
|
| Author information
Boo Rim Choe:
Department of Mathematics, Korea University, Seoul 136-713, KOREA
cbr@korea.ac.kr
Hyungwoon Koo:
Department of Mathematics, Korea University, Seoul 136-713, KOREA
koohw@korea.ac.kr
Young Joo Lee:
Department of Mathematics, Chonnam National University, Gwangju 500-757, KOREA
leeyj@chonnam.ac.kr
|
|
