Commutators of Riesz transforms related to Schrödinger operators

BRUNO BONGIOANNI; ELEONOR HARBOURE; OSCAR SALINAS

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

BIRKHAUSER BOSTON INC

Año: 2011 vol. 17 p. 115 - 134

1069-5869

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 −_+ 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.