Enveloppes inférieures de fonctions admissibles sur l'espace projectif complexe. Cas dissymétrique

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• 作者：Adn&#xe8 ; ne Ben Abdesselem ; Brahim Dridi
• 关键词：Drug targeting ; Amphotericin B ; Controlled release in vitro
• 刊名：Bulletin des Sciences Mathematiques
• 出版年：2008
• 期刊代码：7_00074497
• 类别：mt
• 出版时间：April-May 2008
• 卷：132
• 期：3
• 页码：194-204
• 文件大小：138 K

摘要

This paper generalizes the first author's preceding works concerning admissible functions on certain Fano manifolds [A. Ben Abdesselem, Lower bound of admissible functions on sphere, Bull. Sci. Math. 126 (2002) 675–680 ref="#bib002">[2]; A. Ben Abdesselem, Enveloppes inférieures de fonctions admissibles sur l'espace projectif complexe. Cas symétrique, Bull. Sci. Math. 130 (2006) 341–353 ref="#bib003">[3]]. Here, we study a larger class of functions which can be less symmetric than the ones studied before. When the sup of these functions is null, we prove that they admit a lower bound, giving precisely Tian invariant [G. Tian, On Kähler–Einstein metrics on certain Kähler manifolds with ref="/science?_ob=MathURL&_method=retrieve&_udi=B6VKR-4N3P07R-3&_mathId=mml2&_user=1067359&_cdi=6129&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=095877df8de03539491f87584699495a" title="Click to view the MathML source" alt="Click to view the MathML source">C₁(M)>0, Invent. Math. 89 (1987) 225–246 ref="#bib007">[7]] (see also [T. Aubin, Réduction du cas positif de l'équation de Monge–Ampère sur les variétés Kählériennes à la démonstration d'une inégalité, J. Funct. Anal. 57 (1984) 143–153 ref="#bib001">[1]]) on these manifolds.