# Weighted inequalities for commutators of one-sided singular integrals

María Lorente; María Silvina Riveros

Commentationes Mathematicae Universitatis Carolinae (2002)

- Volume: 43, Issue: 1, page 83-101
- ISSN: 0010-2628

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topLorente, María, and Riveros, María Silvina. "Weighted inequalities for commutators of one-sided singular integrals." Commentationes Mathematicae Universitatis Carolinae 43.1 (2002): 83-101. <http://eudml.org/doc/249008>.

@article{Lorente2002,

abstract = {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.},

author = {Lorente, María, Riveros, María Silvina},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {one-sided weights; one-sided singular integrals; one-sided weights; one-sided singular integrals},

language = {eng},

number = {1},

pages = {83-101},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Weighted inequalities for commutators of one-sided singular integrals},

url = {http://eudml.org/doc/249008},

volume = {43},

year = {2002},

}

TY - JOUR

AU - Lorente, María

AU - Riveros, María Silvina

TI - Weighted inequalities for commutators of one-sided singular integrals

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2002

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 43

IS - 1

SP - 83

EP - 101

AB - 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.

LA - eng

KW - one-sided weights; one-sided singular integrals; one-sided weights; one-sided singular integrals

UR - http://eudml.org/doc/249008

ER -

## References

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