We show that a holomorphic function on the unit polydisc in belongs to the weighted Bergman space , when if and only if all weighted derivations of order (with positive orders of derivations) belong to the related weighted Lebesgue space This result extends Theorem 1.8 by Benke and Chang in their recent paper which appeared in Nagoya Math. J. 159 (2000), 25--43.
Cite this article
Stevo Stevic, Weighted Integrals of Holomorphic Functions on the Polydisc. Z. Anal. Anwend. 23 (2004), no. 3, pp. 577–587DOI 10.4171/ZAA/1211