Weighted inequalities for commutators of one-sided singular integrals
Lorente, María ; Riveros, María Silvina
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 83-101 / Harvested from Czech Digital Mathematics Library
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We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calder'on-Zygmund kernel with support in $(-\infty, 0)$) with BMO functions. We give the one-sided version of the results in C. Pérez, Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function, J. Fourier Anal. Appl., vol. 3 (6), 1997, pages 743–756 and C. Pérez, 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.

Publié le : 2002-01-01
Classification:  42B15,  42B25,  47G10 
@article{119302,
     author = {Mar\'\i a Lorente and Mar\'\i a Silvina Riveros},
     title = {Weighted inequalities for commutators of one-sided singular integrals},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {83-101},
     zbl = {1069.42014},
     mrnumber = {1903309},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119302}
}

Lorente, María; Riveros, María Silvina. Weighted inequalities for commutators of one-sided singular integrals. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 83-101. http://gdmltest.u-ga.fr/item/119302/

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