Trace class Toeplitz operators with unbounded symbols on weighted Bergman spaces |
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| Authors: | Sui Huang Guang Fu Cao |
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| Institution: | 1. Departement of Mathematics, Guangzhou University, Guangzhou, 510006, P. R. China
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| Abstract: | In this note we construct a function φ in L
2($
\mathbb{B}
$
\mathbb{B}
n
, dμ) which is unbounded on any neighborhood of each boundary point of $
\mathbb{B}
$
\mathbb{B}
n
such that T
φ
is a trace class operator on weighted Bergman space L
a
2($
\mathbb{B}
$
\mathbb{B}
n
, dμ) for several complex variables. |
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| Keywords: | Toeplitz operator unbounded function compact operator |
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