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 L log L type estimate for the multilinear operators.
@article{7465, title = {Some Sharp Weighted Estimates for Multilinear Operators - doi: 10.5269/bspm.v23i1-2.7465}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v23i1-2.7465}, language = {EN}, url = {http://dml.mathdoc.fr/item/7465} }
Lanzhe, Liu. Some Sharp Weighted Estimates for Multilinear Operators - doi: 10.5269/bspm.v23i1-2.7465. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v23i1-2.7465. http://gdmltest.u-ga.fr/item/7465/