Commutators of Riesz Transforms Related to Schrödinger Operators
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In this work we obtain boundedness on L p , for 1<p<∞, of commutators T b f=bTf−T(bf) where T is any of the Riesz transforms or their conjugates associated to the Schrödinger operator −Δ+V with V satisfying an appropriate reverse Hölder inequality. The class where b belongs is larger than the usual BMO. We also obtain a substitute result for p=∞, under a slightly stronger condition on b.
KeywordsSchrödinger operator BMO Commutators Riesz transforms
Mathematics Subject Classification (2000)42B35 35J10
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