Commutants of Toeplitz operators with radial symbols on the Fock–Sobolev space |
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Authors: | Boo Rim Choe Jongho Yang |
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Institution: | Department of Mathematics, Korea University, Seoul 136-701, Republic of Korea |
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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. |
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Keywords: | Commutant Toeplitz operator Radial symbol Fock&ndash Sobolev space |
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