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In this paper, we show that algebraic properties of Toeplitz operators on both Bergman spaces and Hardy spaces on the unit disc essentially generalizes on arbitrary bounded domains in the plane. In particular, we obtain results for the uniqueness property and commuting problems of the Toeplitz operators on the Hardy and the Bergman spaces associated to bounded domains.
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참고문헌 (15)
참고문헌 신청
Sheldon Axler / 1991 / Commuting Toeplitz operators with harmonic symbols / Integral Equations Operator Theory 14(1):1~12
Sheldon Axler / 2000 / Commutants of analytic Toeplitz operators on the Bergman space / Proc. Amer. Math. Soc 128(7):1951~1953
S. Bell / 1981 / Proper holomorphic mappings and the Bergman projection / Duke Math. J 48:167~175
S. Bell / 1990 / Mapping problems in complex analysis and the @-problem / Bull. Amer. Math. Soc 22:233~259
S. Bell / 1990 / Solving the Dirichlet problem in the plane by means of the Cauchy integral / Indiana Univ. Math. J 39(4):1355~1371
Sheldon Axler / 2000 / Commutants of analytic Toeplitz operators on the Bergman space / Proc. Amer. Math. Soc 128(7):1951~1953
S. Bell / 1981 / Proper holomorphic mappings and the Bergman projection / Duke Math. J 48:167~175
S. Bell / 1990 / Mapping problems in complex analysis and the @-problem / Bull. Amer. Math. Soc 22:233~259
S. Bell / 1990 / Solving the Dirichlet problem in the plane by means of the Cauchy integral / Indiana Univ. Math. J 39(4):1355~1371
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