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SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS
Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(‖▽f‖p+‖fp) (2≤p＜q＜∞) is given.
作 者： 作者單位： 刊 名： 數學年刊B輯（英文版） ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B 年，卷(期)： 2005 26(4) 分類號： O1 關鍵詞： Sobolev inequality Complete manifold Riesz transform Potential Heat kernel【SOBOLEV INEQUALITY ON RIEMANNIAN MAN】相關文章：
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