A note on Toeplitz operators on Bergman spaces
Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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J. Janas (1991)
Studia Mathematica
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Issam Louhichi, Fanilo Randriamahaleo, Lova Zakariasy (2014)
Concrete Operators
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One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with it. Here we shall study the commutants of a certain class of quasihomogeneous Toeplitz operators defined on the harmonic Bergman space.
Miroslav Engliš (1990)
Czechoslovak Mathematical Journal
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Young Joo Lee (2023)
Czechoslovak Mathematical Journal
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A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space.