Riesz transforms related to Schrödinger operators acting on BMO type spaces

BRUNO BONGIOANNI; ELEONOR HARBOURE; OSCAR SALINAS

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ACADEMIC PRESS INC ELSEVIER SCIENCE

Año: 2009 vol. 357 p. 115 - 131

0022-247X

In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator − + V, where V transforms, and their adjoints, associated to the Schrödinger operator − + V, where V transforms, and their adjoints, associated to the Schrödinger operator − + V, where V BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator − + V, where V− + V, where V satisfies a reverse Hölder inequality. Our results are new even in the unweighted case.