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SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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摘要 LetMbeanndimensionalcompleteRiemannianmanifoldsatisfyingthedoublingvolumepropertyandanon-diagonalheatkernelestimate.Thenecessary-sufficientconditionfortheSobolevinequality‖f‖q≤Cn,,v,p,q(‖▽f‖p+‖fp)(2≤p＜q＜∞)isgiven.

DOI ojnlqexxdr/381537

作者 WANG MENG

机构地区不详

出处《数学年刊：B辑英文版》 2005年4期

关键词 SOBOLEV不等式黎曼几何流形 RIESZ变换位势

分类 [理学][基础数学]

出版日期 2005年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

数学年刊：B辑英文版

数学年刊：B辑英文版

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SOBOLEV不等式黎曼几何流形 RIESZ变换位势

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