Geodesic
On Cauchy Conservative Families of Nonlinear Integral Operators
Commentationes Mathematicae, Tome 45 (2005) no. 1, pp. 1-10.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let \(T_1, T_2\) be nonlinear integral operators of the form (2). There is estimated the expression \(\rho [\alpha(T_1 f - T_2 g)]\), where \(\rho\) is a modular on the space \(L^0(\Omega)\). This is applied in order to obtain a theorem concerning modular conservativity of a family \(T = (T_w)_{w\in W}\) of operators \(T\) w of the form (2).
DOI : 10.14708/cm.v45i1.5223
Mots-clés : modular function space, nonlinear integral operator, Cauchy conservative family of operators 
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Anna Musielak. On Cauchy Conservative Families of Nonlinear Integral Operators. Commentationes Mathematicae, Tome 45 (2005) no. 1, pp.  1-10. doi : 10.14708/cm.v45i1.5223. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i1.5223/

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