Superposition operators on Dirichlet spaces

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概要

• 論文の詳細を見る

• 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. The proofs rely on a co-area formula for condenser potentials.

• 東北大学の論文

著者

• Fitzsimmons Patrick

  Department Of Mathematics University Of California San Diego

関連論文

• Superposition operators on Dirichlet spaces

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