Weighted Endpoint Estimates for Commutators of Riesz Transforms Associated with Schrödinger Operators

Yu Liu, Jielai Sheng and Lijuan Wang

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

Let be a Schrödinger operator, where is the laplacian on and the nonnegative potential belongs to the reverse Hölder class for some . Assume that . Denote by the weighted Hardy space related to the Schrödinger operator . Let be the commutator generated by a function and the Riesz transform . Firstly, we show that the operator is bounded from into . Secondly, we obtain the endpoint estimates for the commutator . Namely, it is bounded from the weighted Hardy space into .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:281562

DOI: 10.1155/2013/281562

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