| Title:
|
Weighted inequalities for commutators of one-sided singular integrals (English) |
| Author:
|
Lorente, M. |
| Author:
|
Riveros, M. S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
83-101 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
one-sided weights |
| Keyword:
|
one-sided singular integrals |
| MSC:
|
42B15 |
| MSC:
|
42B25 |
| MSC:
|
47G10 |
| idZBL:
|
Zbl 1069.42014 |
| idMR:
|
MR1903309 |
| . |
| Date available:
|
2009-01-08T19:19:45Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119302 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
Pérez C.: Endpoint estimates for commutators of singular integral operators.J. Funct. Anal. 128 1 (1995), 163-185. MR 1317714 |
| Reference:
|
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| Reference:
|
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| . |
