Zero products of Toeplitz operators on Reinhardt domains Article (Web of Science)


  • 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.


publication date

  • 2021

number of pages

  • 9

start page

  • 1

end page

  • 10