Uniformly continuous composition operators in the space of bounded φ -variation functions
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- 作者：J.A. Guerrero ; H. Leiva ; J. Matkowski ; N. Merentes
- 关键词： ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4XVBP3R-5&_mathId=mml2&_user=10&_cdi=5659&_pii=S0362546X09012073&_rdoc=33&_issn=0362546X&_acct=C000029478&_version=1&_userid=578664&md5=
- 刊名：Nonlinear Analysis
- 出版年：2010
- 出版时间：15 March 2010
- 年：2010
- 卷：72
- 期：6
- 页码：3119-3123
- 全文大小：360 K
文摘
We prove that, under some general assumptions, a generator of any uniformly continuous Nemytskii operator, mapping a subset of space of bounded variation functions in the sense of Wiener into another space of this type, must be an affine function. As a special case, we obtain an earlier result from Matkowski (in press) [4].