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2 Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

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Urysohn integral operators with homogeneous kernel : approximation properties in modular spaces

Bardaro C., Vinti G.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2002

[Z] 42(2)

145-182

Here we state some modular approximation theorems for a class of nonlinear integral operators, acting on functions defined on locally compact groups, whose kernels satisfy some Lipschitz conditions and some general homogeneity assumptions. Moreover we study the order of modular approximation in modular Lipschitz classes. Applications to nonlinear Mellin convolution operators are given.

Generalized sampling operators in modular spaces

Mantellini I.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1998

[Z] 38

77-92