BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
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- Dziubański, J., Garrigós, G., Martínez, T. et al. Math. Z. (2005) 249: 329. doi:10.1007/s00209-004-0701-9
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We identify the dual space of the Hardy-type space Open image in new window related to the time independent Schrödinger operator Open image in new window=−Δ+V, with V a potential satisfying a reverse Hölder inequality, as a BMO-type space Open image in new window. We prove the boundedness in this space of the versions of some classical operators associated to Open image in new window (Hardy-Littlewood, semigroup and Poisson maximal functions, square function, fractional integral operator). We also get a characterization of Open image in new window in terms of Carlesson measures.