Weighted Sharp Inequality for Vector-Valued Multilinear Integral Operator
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper, we prove the sharp inequality for some vector-valued multilinear integral operators. The operators include Littlewood-Paley operators, Marcinkiewicz operators and Bochner-Riesz operator. By using this inequality, we obtain the weighted $L^p$-norm inequality and $L\log L$-type inequality for the vector-valued multilinear operators.
Classification : 42B20, 42B25.
@article{BMMS_2011_34_2_a0,
     author = {Liu Lanzhe},
     title = {Weighted {Sharp} {Inequality} for {Vector-Valued} {Multilinear} {Integral} {Operator}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2011},
     volume = {34},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a0/}
}
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%A Liu Lanzhe
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%J Bulletin of the Malaysian Mathematical Society
%D 2011
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Liu Lanzhe. Weighted Sharp Inequality for Vector-Valued Multilinear Integral Operator. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a0/