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Note on Commuting Toeplitz operators on the Pluriharmonic Bergman Space
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Abstract
We obtain a characterization of commuting Toeplitz operators with holomorphic symbols acting on the pluriharmonic Bergman space of the polydisk. We also obtain a characterization of normal Toeplitz operators with pluriharmonic symbols. In addition, some results for special types of semi-commutators are included.
참고문헌 (10)
- "\it CommutingToeplitz operators with harmonic symbols}", pp.1~ (1991)
- "it CommutingToeplitz operators on the polydisk", pp.1727~ (2004)
- "it Commuting Toeplitzoperators on the harmonic Bergman space", pp.163~ (1999)
- "it Commuting Toeplitzoperators on the Bergman space of an annulus", pp.355~ (1996)
- "\itFunction theory of several complex variables}" (1982), John Wiley andSons
- "it Some differential andintegral equations with applications to Toeplitz operators", pp.466~ (2002)
- "\it Function theory in the unit ball of$\mathbb" (1980), Springer-Verlag
- "it Toeplitz operators on thepolydisk", pp.3351~ (1996)
- "it Commuting Toeplitz operators with pluriharmonic symbols", pp.1595~ (1998)
- "\it Operator theory in function spaces}" (1990)
관련 논문AI추천
Notes on the Bergman projection type operator in $\Bbb C^n$최기성대한수학회 · 대한수학회논문집2006 · 제21권 제1호Reducing subspaces for Toeplitz operators on the polydiskYanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2013 · 제50권 제2호Berezin transforms and Toeplitz operators on the weighted Bergman spaces of the half-plane강시호대한수학회 · 대한수학회보2007 · 제44권 제2호HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACEIn Sung Hwang대한수학회 · 대한수학회지2005 · 제42권 제2호Hyponormal Toeplitz operators on the Bergman space. II.이종락, 황인성대한수학회 · 대한수학회보2007 · 제44권 제3호REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISKMohammed Albaseer, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2015 · 제52권 제5호
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