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1. CJM 2011 (vol 63 pp. 460)

Pavlíček, Libor
 Monotonically Controlled Mappings We study classes of mappings between finite and infinite dimensional Banach spaces that are monotone and mappings which are differences of monotone mappings (DM). We prove a RadÃ³-Reichelderfer estimate for monotone mappings in finite dimensional spaces that remains valid for DM mappings. This provides an alternative proof of the FrÃ©chet differentiability a.e. of DM mappings. We establish a Morrey-type estimate for the distributional derivative of monotone mappings. We prove that a locally DM mapping between finite dimensional spaces is also globally DM. We introduce and study a new class of the so-called UDM mappings between Banach spaces, which generalizes the concept of curves of finite variation. Keywords: monotone mapping, DM mapping, RadÃ³-Reichelderfer property, UDM mapping, differentiabilityCategories:26B05, 46G05
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