International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 79-88
doi:10.1155/S016117129800009X

Some properties of Uryson-Stieltjes integral operators

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