On nonlinear integro-differential operators in generalized Orlicz-Sobolev spaces

被引：0

作者：

Bardaro, C

Musielak, J

Vinti, G

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland

[3] Univ Perugia, Dipartimento Matemat, CNR, I-06100 Perugia, Italy

来源：

JOURNAL OF APPROXIMATION THEORY | 2000年 / 105卷 / 02期

关键词：

approximation by strongly singular integrals; Orlicz-Sobolev space; modular space; nonlinear integro-differential operator; generalized Lipschitz condition;

D O I：

10.1006/jath.2000.3463

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlinear integral operator T of the form (Tf)(s) = integral(G) K(t, f(sigma(s, t))) d mu(t), for s is an element of G, is defined and investigated in the measure space (G, Sigma, mu), where f and K are vector-valued functions with values in normed linear spaces E and F, respectively. The results are applied to the case of integro-differential operators in generalized Orlicz-Sobolev spaces. There are studied problems of existence, embeddings, and approximation by means of T. (C) 2000 Academic Press.

引用

页码：238 / 251

页数：14