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

Huimin Sun, Shuhui Yang, Yan Lin

Via the new weight function $A_{\vec{p}}^{\hat{I}¸}(\ddot{I}†)$, the authors introduce a new class of multilinear Littlewood--Paley $g_{\hat{I}}{»}^{\ast }$ functions and establish the boundedness on weighted…