BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality

摘要

We identify the dual space of the Hardy-type space related to the time independent Schrödinger operator =−Δ+V, with V a potential satisfying a reverse Hölder inequality, as a BMO-type space . We prove the boundedness in this space of the versions of some classical operators associated to (Hardy-Littlewood, semigroup and Poisson maximal functions, square function, fractional integral operator). We also get a characterization of in terms of Carlesson measures.