翻訳と辞書 Words near each other ・ Malli Amman Durgham ・ Malli Maduve ・ Malli Malli Chudali ・ Malli Malli Idi Rani Roju ・ Malli Mastan Babu ・ Malli Seti ・ Malli-dong ・ Mallia Franklin ・ Malliabad ・ Mallial ・ Mallian Campaign ・ Mallian Kalan ・ Malliary ・ Malliavin calculus ・ Malliavin derivative ・ Malliavin's absolute continuity lemma ・ Mallica Reynolds ・ Mallica Vajrathon ・ Malliciah Goodman ・ Mallie Hughes ・ Mallie's Sports Grill & Bar ・ Mallie, Kentucky ・ Mallig Plains ・ Mallig, Isabela ・ Malligasta ・ Malligwad ・ Mallik ・ Mallik gas hydrate site ・ Mallik Island ・ Mallika Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Malliavin's absolute continuity lemma ： ウィキペディア英語版 Malliavin's absolute continuity lemma In mathematics — specifically, in measure theory — Malliavin's absolute continuity lemma is a result due to the French mathematician Paul Malliavin that plays a foundational rôle in the regularity (smoothness) theorems of the Malliavin calculus. Malliavin's lemma gives a sufficient condition for a finite Borel measure to be absolutely continuous with respect to Lebesgue measure. ==Statement of the lemma== Let ''μ'' be a finite Borel measure on ''n''-dimensional Euclidean space R''n''. Suppose that, for every ''x'' ∈ R''n'', there exists a constant ''C'' = ''C''(''x'') such that :$\backslash left|\; \backslash int\_\}\; \backslash mathrm\; \backslash varphi\; (y)\; (x)\; \backslash ,\; \backslash mathrm\; \backslash mu(y)\; \backslash right|\; \backslash leq\; C(x)\; \backslash |\; \backslash varphi\; \backslash |\_$ for every ''C''∞ function ''φ'' : R''n'' → R with compact support. Then ''μ'' is absolutely continuous with respect to ''n''-dimensional Lebesgue measure ''λ''''n'' on R''n''. In the above, D''φ''(''y'') denotes the Fréchet derivative of ''φ'' at ''y'' and ||''φ''||∞ denotes the supremum norm of ''φ''. 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「Malliavin's absolute continuity lemma」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.