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

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

2012-02-09

arxiv.org/abs/1202.2061v2

Mathematics

Classical Analysis and ODEs

24 pages, some references added

Scientific paper

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}.

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