Continuity and Complete Continuity of a Kind of Nonlinear Operators in Fenchel-Orlicz Spaces
Continuity and Complete Continuity of a Kind of Nonlinear Operators in Fenchel-Orlicz Spaces出 版 物:《哈尔滨工业大学学报》 (Journal of Harbin Institute of Technology)
年 卷 期:1990年第22卷第3期
页 面:1-6页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:非线性算子 乌里松算子 Fenchel-Orlicz空间 连续性 完全连续性
摘 要:Urysohn s operators are a very important kind of nonlinear operators. Many scholars investigated their properties in various spaces. Similar to Urysohn s operators, a kind of nonlinear operators is introduced, and their continuity and complete continuity in a kind of Fenchel-Orlicz spaces are discussed in this paper. The results obtained are a generalization of the corresponding results in [1-4].