Journal of Inequalities and Applications

Volume 4 (1999), Issue 1, Pages 1-16

doi:10.1155/S1025583499000272

## The generalized hardy operator with kernel and variable integral limits in banach function spaces

# A. Gogatishvill^{1} and J. Lang^{2}

^{1}Razmadze Mathematical Institute, Georgian Academy of Sciences, M. Aleksidze st., Tbilisi 380093, Georgia^{2}University of Missouri-Columbia, Department of Mathematics, 202 Mathematical Sciences Building, Columbia 65211, MO, USA

Received 18 December 1997; Revised 15 September 1998

Copyright © 1999 A. Gogatishvill and J. Lang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Let we have an integral operator