4.2 Article

Commutators of Riesz Transforms Related to Schrodinger Operators

Journal

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Volume 17, Issue 1, Pages 115-134

Publisher

BIRKHAUSER BOSTON INC
DOI: 10.1007/s00041-010-9133-6

Keywords

Schrodinger operator; BMO; Commutators; Riesz transforms

Funding

  1. Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)
  2. Universidad Nacional del Litoral (UNL), Argentina

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In this work we obtain boundedness on L(p) , for 1 < p < infinity, of commutators T(b)f = bTf - T(bf) where T is any of the Riesz transforms or their conjugates associated to the Schrodinger operator -Delta+V with V satisfying an appropriate reverse Holder inequality. The class where b belongs is larger than the usual BMO. We also obtain a substitute result for p = infinity, under a slightly stronger condition on b.

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