Here we state some modular approximation theorem 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
Urysohn integral operators with homogeneous kernel: approximation properties in modular spaces
BARDARO, Carlo;VINTI, Gianluca
2002
Abstract
Here we state some modular approximation theorem 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 givenFile in questo prodotto:
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