Weighted inequalities for commutators of Schrödinger–Riesz transforms

By B. Bongioanni, E. Harboure, O. Salinas. 2011

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Abstract In this work we obtain weighted L p , 1 p ∞ , and weak L log L estimates for the commutator of the Riesz transforms associated to a Schrodinger operator − Δ + V , where V satisfies some reverse-Holder 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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c3bb2072b91fbe0aac8a8b108a3318fa8fcafdc6