Weighted Sharp Inequality for Vector-Valued Multilinear Integral Operator
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 2
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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/}
}
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/