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arXiv:1202.2061 [math.CA]AbstractReferencesReviewsResources

Weighted estimates for commutators of some singular integrals related to Schrödinger operators

The Anh Bui

Published 2012-02-09, updated 2012-02-21Version 2

Let $L=-\Delta +V$ with non-negative potential $V$ satisfying some appropriate reverse H\"older inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to $L$ such as Riesz transforms and fractional integrals with the new BMO functions introduced in \cite{BHS1} on the weighted spaces $L^p(w)$ where $w$ belongs to the new classes of weights introduced by \cite{BHS2}.

Comments: 24 pages, some references added
Categories: math.CA
Subjects: 42B35, 35J10
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