Some properties of Urysohn-Stieltjes integral operators

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 o...

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Bibliographic Details
Main Author: Józef Banaś
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129800009X
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Summary: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
ISSN:0161-1712
1687-0425