In this paper, we prove some weighted inequalities for the multilinear operators related to certain integral operators on the generalized Morrey spaces by using the sharp estimates of the multilinear operators. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
En este trabajo demostramos algunas desigualdades ponderadas para operadores multilineales relacionados con ciertos operadores integrales en los espacios generalizados de Morrey usando estimaciones ajustadas de los operadores multilineales. Los operadores incluyen los operadores de Littlewood-Paley, de Marcinkiewicz y de Bochner-Riesz.
@article{urn:eudml:doc:41667, title = {Sharp and weighted inequalities for multilinear integral operators.}, journal = {RACSAM}, volume = {101}, year = {2007}, pages = {99-111}, zbl = {1202.42041}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41667} }
Lanzhe, Liu. Sharp and weighted inequalities for multilinear integral operators.. RACSAM, Tome 101 (2007) pp. 99-111. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41667/