This article is cited in 1 paper

Local smoothness of the conjugate functions

M. I. Dyachenko

Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: In the paper the author deals with the following problem: what can we say about the behaviour of the conjugate function at a fixed point, if the global smoothness as well as the behaviour at this point of the original function are known? Sharp results on this and related problems are obtained.

Keywords and phrases: conjugate functions, local smoothness.

MSC: 42A50

Received: 22.12.2010

Language: English

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