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Mathematische Zeitschrift

, Volume 249, Issue 2, pp 329–356 | Cite as

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

  • J. Dziubański
  • G. Garrigós
  • T. Martínez
  • J. L. TorreaEmail author
  • J. Zienkiewicz
Article

Abstract.

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • J. Dziubański
    • 1
  • G. Garrigós
    • 2
  • T. Martínez
    • 2
  • J. L. Torrea
    • 2
    Email author
  • J. Zienkiewicz
    • 1
  1. 1.Institute of MathematicsUniversity of WrocławWrocławPoland
  2. 2.Departamento de Matemáticas, Universidad Autónoma de MadridCiudad Universitaria de CantoblancoMadridSpain

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