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

• Autorzy: Bardaro C. , Vinti G.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

homogeneous kernels; Lipschitz conditions; modular convergence; modular Lipschitz classes; nonlinear Mellin convolution operators

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(2)
• Strony: 145--182
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Bardaro C.

• Universitá degli Studi di Perugia, Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123 Perugia - Italia

autor

Vinti G.

• Universitá degli Studi di Perugia, Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123 Perugia - Italia

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