Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions

Chunliang Li, Shuhui Yang, Yan Lin

Via the new weight $A_{\vec{p}}^{\infty }(\phi )$ and the new $BMO$ function, the authors introduce a new class of multilinear square operators $T$ with generalized kernels. The boundedn…