Geodesic
Some sharp weighted estimates for multilinear operators
Documenta mathematica, Tome 9 (2004), pp. 607-622
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In this paper, we establish a sharp inequality for some multilinear operators related to certain integral operators. The operators include Calderón-Zygmund singular integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. As application, we obtain the weighted norm inequalities and LlogL type estimate for the multilinear operators.
DOI : 10.4171/dm/180
Classification : 42B20, 42B25
Mots-clés : BMO, multilinear operator, Calderón-Zygmund operator, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, sharp estimate 
@article{10_4171_dm_180,
     author = {Lanzhe Liu},
     title = {Some sharp weighted estimates for multilinear operators},
     journal = {Documenta mathematica},
     pages = {607--622},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/180},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/180/}
}
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Lanzhe Liu. Some sharp weighted estimates for multilinear operators. Documenta mathematica, Tome 9 (2004), pp. 607-622. doi: 10.4171/dm/180

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