subharmonic function — 1 articles found.

Cartan-Remez Type Inequalities for Analytic and Plurisubharmonic Functions

C. R. Math. Rep. Acad. Sci. Canada Vol. 38 (3) 2016, pp. 99-112
Vol.38 (3) 2016
Alexander Brudnyi Details
(Received: 2015-10-29 , Revised: 2015-11-30 )
(Received: 2015-10-29 , Revised: 2015-11-30 )

Alexander Brudnyi,Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4; e-mail:


Recently there has been a considerable interest in Cartan-Remez type inequalities in connection with various problems of analysis. In this paper we formulate and prove several basic results in this area and describe some of their applications. The text is based on the material of the minicourse given by the author at the workshop on Analytic Microlocal Analysis held at the Northwestern University in May 2013.

Récemment, il y a eu un intérêt considérable aux inégalités de types de Cartan-Remez dans le cadre de divers problèmes de l’analyse. Dans cet article, nous formulons et nous démontrons plusieurs résultats de base dans ce domaine et nous décrivons certaines de leurs applications. Le texte est basé sur le matériau de la mini-course donnée par l’auteur à l’atelier sur l’analyse analytique microlocale tenu à l’Université Northwestern en mai 2013.

Keywords: Cartan-Remez inequality, Hilbert 16th problem, Jensen inequality, holomorphic function, subharmonic function

AMS Subject Classification: Inequalities in approximation (Bernstein; Jackson; Nikol\cprime ski\u\i-type inequalities), Multidimensional problems (should also be assigned at least one other classification number in this section) 41A17, 41A63

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