期刊论文详细信息
Journal of the Australian Mathematical Society | |
Continuity properties of the superposition operator | |
Jürgen Appell1  | |
[1] Pjotr P. Zabrejko | |
关键词: 47 H 15; 46 E 30; 26 B 40; 28 A 20; | |
DOI : 10.1017/S1446788700031633 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
Various continuity conditions (in norm, in measure, weakly etc.) for the nonlinear superposition operator F x(s) = f(s, x(s)) between spaces of measurable functions are established in terms of the generating function f = f(s, u). In particular, a simple proof is given for the fact that, if F is continuous in measure, then f may be replaced by a function f which generates the same superposition operator F and satisfies the Carathéodory conditions. Moreover, it is shown that integral functional associated with the function f are proved.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912040544117ZK.pdf | 1200KB | download |