New Multilinear Littlewood--Paley $g_{\lambda }^{\ast }$ Function and Commutator on weighted Lebesgue Spaces

Huimin Sun, Shuhui Yang, Yan Lin

Via the new weight function $A_{\vec{p}}^{\theta }(\phi )$, the authors introduce a new class of multilinear Littlewood--Paley $g_{\lambda }^{\ast }$ functions and establish the boundedness on weighted Le…