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Hyponormality of block Toeplitz operators on the weighted Bergman spaces

Article ID Journal Published Year Pages File Type
8904462 Acta Mathematica Scientia 2017 10 Pages PDF
Abstract
In this paper we consider the block Toeplitz operators TPhi on the weighted Bergman space Aα2(D,Cn) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ=F+G* with matrix-valued polynomial functions F and G with degree 2.
Keywords
47B3542B3030E0547B20Hyponormal32A35Weighted Bergman space
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
Hyponormality of block Toeplitz operators on the weighted Bergman spaces
Authors
Jongrak LEE,
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Journal
Acta Mathematica Scientia
Journal: Acta Mathematica Scientia
Related Categories
47B35
42B30
30E05
47B20
Hyponormal
32A35
Weighted Bergman space
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