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Zero products of Toeplitz operators on Reinhardt domains
Published online by Cambridge University Press: 08 April 2021
Abstract
Let
$\Omega $
be a bounded Reinhardt domain in
$\mathbb {C}^n$
and
$\phi _1,\ldots ,\phi _m$
be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operators
$T_{\phi _m}\cdots T_{\phi _1}=0$
on the Bergman space on
$\Omega $
, then
$\phi _j=0$
for some j.
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- © Canadian Mathematical Society 2021