Bounded operators on weighted spaces of holomorphic functions on the   polydisk
  We consider the weighted $A^p(\omega)$ and $B_p(\omega)$ spaces of holomorphic functions on the polydisk (in the case of $p>1$).   We prove some theorems about the boundedness of Toeplitz operators on weighted Besov spaces $B_p(\omega)$ and about the boundedness of generalized little Hankel and Berezin- type operators on $A^p(\omega)$. 
A.V. Harutyunyan
math.CV