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28 p, 241.9 KB On Lp estimates for square roots of second order elliptic operators on Rn / Auscher, Pascal
We prove that the square root of a uniformly complex elliptic operator L = − div(A∇) with bounded measurable coefficients in Rn satisfies the estimate kL 1/2fkp . k∇fkp for sup(1, 2n n+4 − ε) < p < 2n n−2 + ε, which is new for n ≥ 5 and p < 2 or for n ≥ 3 and p > 2n n−2. [...]
2004 - 10.5565/PUBLMAT_48104_08
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 159-186  

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2 Auscher, P.
1 Auscher, Paul
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