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Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces

In: Mathematica Slovaca, vol. 56, no. 4
Carlo Bardaro - Ilaria Mantellini
Detaily:
Rok, strany: 2006, 465 - 482
O článku:
We obtain some modular equi-integrability properties for a class of integral operators of the form

$$ (Twf)(s) = \intG Kw (s,t,f(t)) dμ(t) ,    s\in G , $$

in modular spaces, where $G$ is a locally compact topological space provided with a regular measure $μ$ defined on the Borel sets $B$ of $G$. Then we obtain applications to modular convergence theorems.
Ako citovať:
ISO 690:
Bardaro, C., Mantellini, I. 2006. Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces. In Mathematica Slovaca, vol. 56, no.4, pp. 465-482. 0139-9918.

APA:
Bardaro, C., Mantellini, I. (2006). Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces. Mathematica Slovaca, 56(4), 465-482. 0139-9918.