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Creators/Authors contains: "Escauriaza, L."

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  1. ; (, Proceedings of the American Mathematical Society)
    We prove the Kato conjecture for elliptic operators, $$L=-\nabla\cdot\left((\mathbf A+\mathbf D)\nabla\ \right)$$, with $$\mathbf A$$ a complex measurable bounded coercive matrix and $$\mathbf D$$ a measurable real-valued skew-symmetric matrix in $$\re^n$$ with entries in $$BMO(\re^n)$$;\, i.e., the domain of $$\sqrt{L}\,$$ is the Sobolev space $$\dot H^1(\re^n)$$, with the estimate $$\|\sqrt{L}\, f\|_2 \lesssim \| \nabla f\|_2\,.$$ 
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