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Toeplitz Operators on Dirichlet-Type Space of Unit Ball
Joint Authors
Xia, Jin
Cao, Guangfu
Wang, Xiaofeng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We construct a function u in L 2 B n , d V which is unbounded on any neighborhood of each boundary point of B n such that Toeplitz operator T u is a Schatten p -class 0 < p < ∞ operator on Dirichlet-type space D B n , d V .
Then, we discuss some algebraic properties of Toeplitz operators with radial symbols on the Dirichlet-type space D B n , d V .
We determine when the product of two Toeplitz operators with radial symbols is a Toeplitz operator.
We investigate the zero-product problem for several Toeplitz operators with radial symbols.
Furthermore, the corresponding commuting problem of Toeplitz operators whose symbols are of the form ξ k u is studied, where k ∈ Z n , ξ ∈ ∂ B n , and u is a radial function.
American Psychological Association (APA)
Xia, Jin& Wang, Xiaofeng& Cao, Guangfu. 2014. Toeplitz Operators on Dirichlet-Type Space of Unit Ball. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034104
Modern Language Association (MLA)
Xia, Jin…[et al.]. Toeplitz Operators on Dirichlet-Type Space of Unit Ball. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1034104
American Medical Association (AMA)
Xia, Jin& Wang, Xiaofeng& Cao, Guangfu. Toeplitz Operators on Dirichlet-Type Space of Unit Ball. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034104
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034104