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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Young Joo Lee (2004)
Czechoslovak Mathematical Journal
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We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.
Amila Appuhamy (2021)
Czechoslovak Mathematical Journal
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We study algebraic properties of two Toeplitz operators on the weighted Bergman space on the unit disk with harmonic symbols. In particular the product property and commutative property are discussed. Further we apply our results to solve a compactness problem of the product of two Hankel operators on the weighted Bergman space on the unit bidisk.
Carmen H. Mancera, Pedro José Paúl (2001)
Czechoslovak Mathematical Journal
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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions and , an operator is said to be a generalized Hankel operator if and satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of and . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...
Shaabani, M.Haji, Khani Robati, B. (2009)
Abstract and Applied Analysis
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Albrecht Böttcher (1990)
Monatshefte für Mathematik
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J. Janas (1991)
Studia Mathematica
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