We prove that the autonomous composition operator Hf = h o f maps the space κBV of all functions of bounded Korenblum variation into itself if and only if the generating function h is locally Lipschitz on the real line.
展开▼
机译：我们证明，当且仅当生成函数h在实线上局部为Lipschitz时，自治合成算子Hf = h o f才将有界Korenblum变化的所有函数的空间κBV映射到自身中。
展开▼
