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Title of Journal: J Fourier Anal Appl

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Abbravation: Journal of Fourier Analysis and Applications

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SP Birkhäuser Verlag Boston

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DOI

10.1002/ejic.200700287

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1531-5851

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Commutators of Riesz Transforms Related to Schrödi

Authors: B Bongioanni E Harboure O Salinas
Publish Date: 2010/05/11
Volume: 17, Issue: 1, Pages: 115-134
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Abstract

In this work we obtain boundedness on L p for 1p∞ of commutators T b f=bTf−Tbf where T is any of the Riesz transforms or their conjugates associated to the Schrödinger operator −Δ+V with V satisfying an appropriate reverse Hölder inequality The class where b belongs is larger than the usual BMO We also obtain a substitute result for p=∞ under a slightly stronger condition on b


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