On the order of modular approximation for nets of integral operators in modular Lipschitz classes
For nets of linear and also nonlinear integral operators of convolution type acting on functions in modular function spaces (generated by a modular functional) and satisfying in addition some general Lipschitz condition in terms of a comparison function the degree of approximation is studied. The very general results of the paper include in particular estimates for Lipschitz classes in \(L_p\)-spaces, Orlicz spaces and Musielak-Orlicz spaces.
scientific article; zbMATH DE number 1251478