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

JOURNAL OF APPROXIMATION THEORY

卷:105

Article

Bardaro, C ; Musielak, J ; Vinti, G

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

DOI  :  10.1006/jath.2000.3463

来源: Elsevier

【 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.

【 授权许可】

Free