Volume 34 • Number 2 • 2011   • Weighted Sharp Inequality for Vector-Valued Multilinear Integral Operator Liu Lanzhe Abstract. 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. 2010 Mathematics Subject Classification: 42B20, 42B25. Full text: PDF