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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cartan's lemma (potential theory) ： ウィキペディア英語版 Cartan's lemma (potential theory) In potential theory, a branch of mathematics, Cartan's lemma, named after Henri Cartan, is a bound on the measure and complexity of the set on which a logarithmic Newtonian potential is small. ==Statement of the lemma== The following statement can be found in Levin's book.〔B.Ya. Levin, ''Lectures on Entire Functions''〕 Let ''μ'' be a finite positive Borel measure on the complex plane C with ''μ''(C) = ''n''. Let ''u''(''z'') be the logarithmic potential of ''μ'': :$u(z)\; =\; \backslash frac\backslash int\_\backslash mathbf\; \backslash log|z-\backslash zeta|\backslash ,d\backslash mu(\backslash zeta)$ Given ''H'' ∈ (0, 1), there exist discs of radius ''r''''i'' such that : and :$u(z)\; \backslash ge\; \backslash frac\backslash log\; \backslash frac$ for all ''z'' outside the union of these discs. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cartan's lemma (potential theory)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.