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In this paper we give necessary and sufficient conditions that two
Toeplitz operators with monomial symbols acting on the weighted
Bergman space commute. We also present necessary and sufficient
conditions for the hyponormality of Toeplitz operators with some
special symbols on the weighted Bergman space. All the results are
stated in terms of the Mellin transform of the symbol.
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참고문헌 (26)
참고문헌 신청
A. Brown / 1963 / Algebraic properties of Toeplitz operators / J. Reine Angew. Math. 213 : 89 ~ 102
B. R. Choe / 2004 / Commuting Toeplitz operators on the polydisk / Trans. Amer. Math. Soc. 356 (5) : 1727 ~ 1749
C. C. Cowen / 1988 / Hyponormal and subnormal Toeplitz operators, Surveys of some recent results in operator theory / Pitman Res. Notes Math. Ser. 171 : 155 ~ 167
C. C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc. 103 (3) : 809 ~ 812
C. X. Gu / 1994 / A generalization of Cowen’s characterization of hyponormal Toeplitz operators / J. Funct. Anal. 124 (1) : 135 ~ 148
B. R. Choe / 2004 / Commuting Toeplitz operators on the polydisk / Trans. Amer. Math. Soc. 356 (5) : 1727 ~ 1749
C. C. Cowen / 1988 / Hyponormal and subnormal Toeplitz operators, Surveys of some recent results in operator theory / Pitman Res. Notes Math. Ser. 171 : 155 ~ 167
C. C. Cowen / 1988 / Hyponormality of Toeplitz operators / Proc. Amer. Math. Soc. 103 (3) : 809 ~ 812
C. X. Gu / 1994 / A generalization of Cowen’s characterization of hyponormal Toeplitz operators / J. Funct. Anal. 124 (1) : 135 ~ 148
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