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Boundedness and compactness of some Toeplitz operatorsBoundedness and compactness of some Toeplitz operators
- Other Titles
- Boundedness and compactness of some Toeplitz operators
- Authors
- 강시호
- Issue Date
- Aug-2013
- Publisher
- 충청수학회
- Keywords
- weighted Bergman spaces; Toeplitz operators; Berezin transforms; integral operators
- Citation
- 충청수학회지, v.26, no.3, pp 467 - 475
- Pages
- 9
- Journal Title
- 충청수학회지
- Volume
- 26
- Number
- 3
- Start Page
- 467
- End Page
- 475
- ISSN
- 1226-3524
2383-6245
- Abstract
- We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We introduce some set CG of symbols and we prove that Toeplitz operators induced by elements of CG are bounded and characterize when Toeplitz operators are compact and show that each element of CG is related with a Carleson measure.
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