Weighted Norm Inequalities, Off-diagonal Estimates and Elliptic Operators. Part Iv: Riesz Transforms on Manifolds and Weights Pascal Auscher and José
نویسنده
چکیده
This is the fourth article of our series. Here, we study weighted norm inequalities for the Riesz transform of the Laplace-Beltrami operator on Riemannian manifolds and of subelliptic sum of squares on Lie groups, under the doubling volume property and Gaussian upper bounds. Math. Z. 260 (2008), no. 3, 527--539
منابع مشابه
Weighted Norm Inequalities, Off-diagonal Estimates and Elliptic Operators Part Iii: Harmonic Analysis of Elliptic Operators Pascal Auscher and José
This is the third part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators. For L in some class of elliptic operators, we study weighted norm L inequalities for singular “non-integral” operators arising from L ; those are the operators φ(L) for bounded holomorphic functions φ, the Riesz transforms ∇L−1/2 (or (−∆)1/2L−1/2) and its inverse L1/...
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