Approximation by nonlinear integral operators in some modular function spaces
Carlo Bardaro ; Julian Musielak ; Gianluca Vinti
Annales Polonici Mathematici, Tome 63 (1996), p. 173-182 / Harvested from The Polish Digital Mathematics Library
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Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function f∈(L⁰(G))ϱ+η∩DomT is estimated, where (Tf)(s)=∫GK(t-s,f(t))dt and K satisfies a generalized Lipschitz condition with respect to the second variable.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262585 
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Carlo Bardaro; Julian Musielak; Gianluca Vinti. Approximation by nonlinear integral operators in some modular function spaces. Annales Polonici Mathematici, Tome 63 (1996) pp. 173-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv63z2p173bwm/

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