Commutators of Riesz Transforms Related to Schrödinger Operators
By B. Bongioanni, E. Harboure, O. Salinas. 2011
146 citations recorded by the source corpus.
In this work we obtain boundedness on Lp, for 1<p<∞, of commutators Tbf=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.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/f93bdbd4a629951cff00ca0fe51b67a2151e58b2
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In Applied Mathematics
Citations in the corpus
- Weighted norm inequalities for Schr\"odinger type operators (2011, methodology): “Obviously, the classical BMO is properly contained in BMOθ(ρ); more examples see [1].”