Open Access

Weighted integrals of holomorphic functions in the unit polydisc

Journal of Inequalities and Applications20052005:463631

DOI: 10.1155/JIA.2005.583

Received: 28 September 2003

Published: 31 October 2005

Abstract

Let be a measurable function defined on the unit polydisc in and let , , be admissible weights on the unit disk , with distortion functions , , where , and . We prove the following result: if and for all , , then and there is a positive constant such that .

Authors’ Affiliations

(1)
Mathematical Institute of Serbian Academy of Science

Copyright

© Stević 2005