Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
Finite rank Toeplitz products with harmonic symbols
- Authors
- Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo
- Issue Date
- 1-7월-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- finite rank; Toeplitz operator; harmonic symbol; Bergman space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.343, no.1, pp.81 - 98
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 343
- Number
- 1
- Start Page
- 81
- End Page
- 98
- ISSN
- 0022-247X
- Abstract
- On the Bergman space of the unit ball of C-n, we study the finite rank problem for Toeplitz products with harmonic symbols. We first solve the problem with two factors in case symbols have local continuous extension property up to the boundary. Also, in case symbols have additional Lipschitz continuity up to (some part of) the boundary, we solve the problem for multiple products with number of factors depending on the dimension n. Analogous theorems on the polydisk are also obtained. (c) 2008 Elsevier Inc. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.