International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 79-88
doi:10.1155/S016117129800009X
Some properties of Urysohn-Stieltjes integral operators
Department of Mathematics, Technical University of Rzeszów, W Pola 2, Rzeszów 35-959, Poland
Received 23 January 1996; Revised 12 December 1996
Copyright © 1998 Józef Banaś. 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
We investigate some properties of Urysohn-Stieltjes integral operators. The assumptions
will be formulated under which the operators in question transform the space of coatinuous
functions into itself or in the space of functions of bounded variation, are continuous or are
compact. The solvability of an integral equation of Urysohn-Stieltjes type will be also discussed