| Title:
|
Weighted endpoint estimates for commutators of multilinear fractional integral operators (English) |
| Author:
|
Yan, Xuefang |
| Author:
|
Xue, Limei |
| Author:
|
Li, Wenming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
347-359 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $m$ be a positive integer, $0<\alpha <mn$, $\vec {b}=(b_{1},\cdots ,b_{m})\in {\rm BMO}^m$. We give sufficient conditions on weights for the commutators of multilinear fractional integral operators $\Cal {I}^{\vec {b}}_{\alpha }$ to satisfy a weighted endpoint inequality which extends the result in D. Cruz-Uribe, A. Fiorenza: Weighted endpoint estimates for commutators of fractional integrals, Czech. Math. J. 57 (2007), 153–160. We also give a weighted strong type inequality which improves the result in X. Chen, Q. Xue: Weighted estimates for a class of multilinear fractional type operators, J. Math. Anal. Appl., 362, (2010), 355–373. (English) |
| Keyword:
|
multilinear fractional integral operators |
| Keyword:
|
commutator |
| Keyword:
|
BMO |
| Keyword:
|
weight |
| Keyword:
|
maximal operators |
| MSC:
|
42B20 |
| MSC:
|
42B25 |
| idZBL:
|
Zbl 1265.42061 |
| idMR:
|
MR2990181 |
| DOI:
|
10.1007/s10587-012-0034-5 |
| . |
| Date available:
|
2012-06-08T09:38:43Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142833 |
| . |
| 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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