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Toeplitz products with pluriharmonic symbols on the Hardy space over the ball
- Authors
- Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo
- Issue Date
- 1-9월-2011
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Zero product; Toeplitz operator; Pluriharmonic symbol; Hardy space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.381, no.1, pp.365 - 382
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 381
- Number
- 1
- Start Page
- 365
- End Page
- 382
- ISSN
- 0022-247X
- Abstract
- On the Hardy space over the unit ball in C(n), we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena. (C) 2011 Elsevier Inc. All rights reserved.
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