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Commutants of Toeplitz operators with radial symbols on the Fock-Sobolev space
- Authors
- Choe, Boo Rim; Yang, Jongho
- Issue Date
- 15-7월-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Commutant; Toeplitz operator; Radial symbol; Fock-Sobolev space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.415, no.2, pp.779 - 790
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 415
- Number
- 2
- Start Page
- 779
- End Page
- 790
- ISSN
- 0022-247X
- Abstract
- In the setting of the Fock space over the complex plane, Bauer and Lee have recently characterized commutants of Toeplitz operators with radial symbols, under the assumption that symbols have at most polynomial growth at infinity. Their characterization states: If one of the symbols of two commuting Toeplitz operators is nonconstant and radial, then the other must be also radial. We extend this result to the Fock-Sobolev spaces. (C) 2014 Elsevier Inc. All rights reserved.
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