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Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space
Joint Authors
Lu, Yufeng
Liu, Liu
Yang, Jingyu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space.
We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator and discuss the zero-product problem for several Toeplitz operators with radial symbols.
Next, we study the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols.
Finally, we also investigate finite rank commutators and semicommutators of two Toeplitz operators with quasihomogeneous symbols.
American Psychological Association (APA)
Yang, Jingyu& Liu, Liu& Lu, Yufeng. 2013. Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1006126
Modern Language Association (MLA)
Yang, Jingyu…[et al.]. Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space. Journal of Function Spaces No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1006126
American Medical Association (AMA)
Yang, Jingyu& Liu, Liu& Lu, Yufeng. Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1006126
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006126