1 results
Zero products of Toeplitz operators on Reinhardt domains
- Part of
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- Journal:
- Canadian Mathematical Bulletin / Volume 65 / Issue 1 / March 2022
- Published online by Cambridge University Press:
- 08 April 2021, pp. 170-179
- Print publication:
- March 2022
-
- Article
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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.
