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M. Lorente, M.S. Riveros 9AECDJA@ EAGK=EJEAI BH ?KJ=JHI B AIE@A@ IECK=H EJACH=I

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M. Lorente, M.S. Riveros

Weighted inequalities for commutators of one-sided singular integrals

Comment.Math.Univ.Carolinae 43,1 (2002) 83-101.

Abstract: We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calder´on-Zygmund kernel with support in (−∞,0)) with BMO functions. We give the one-sided version of the results in [C. P´erez, Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maxi- mal function, J. Fourier Anal. Appl., vol. 3 (6), 1997, pages 743–756] and [C. P´erez, Endpoint estimates for commutators of singular integral operators, J. Funct. Anal., vol 128 (1), 1995, pages 163-185]. We improve these results for one-sided singular integrals by putting in the right hand side of the inequalities a smaller operator and a wider class of weights.

Keywords: one-sided weights, one-sided singular integrals AMS Subject Classification: Primary 42B25

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