Superposition operators on Dirichlet spaces
نویسندگان
چکیده
منابع مشابه
Superposition Operators on Dirichlet Spaces
In the context of a strongly local Dirichlet space we show that if a function mapping the real line to itself (and fixing the origin) operates by composition on the left to map the Dirichlet space into itself, then the function is necessarily locally Lipschitz continuous. If, in addition, the Dirichlet space contains unbounded elements, then the function must be globally Lipschitz continuous. T...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2004
ISSN: 0040-8735
DOI: 10.2748/tmj/1113246670