Weighted inequalities for commutators of Schrödinger-Riesz transforms

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

In this work we obtain weighted $L^p$, $1estimates for the commutator of the Riesz transforms associated to a
Schr\"odinger operator $-\lap+V$, where $V$ satisfies some reverse H\"older
inequality. The classes of weights as well as the classes of symbols are larger
than $A_p$ and $BMO$ corresponding to the classical Riesz transforms.

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