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Abstract: We prove the Kato conjecture for degenerate elliptic operators in R^n. Moreprecisely, we consider the divergence form operator L w = -1-w div wA grad,where w is a Muckenhoupt A 2 weight and A is a complex valued n x n matrixwhich is bounded and uniformly elliptic. We show that if the associatedsemigroup satisfies Gaussian upper bounds, then the Kato square root estimateholds.



Autor: D. Cruz-Uribe, C. Rios

Fuente: https://arxiv.org/



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