Weighted boundedness for commutators of parameterized Littlewood-Paley operators and area integrals
Weighted boundedness for commutators of parameterized Littlewood-Paley operators and area integrals
We establish the boundedness for commutators of parameterized Littlewood-Paley operators and area integrals on weighted Lebesgue spaces Lp(?) when 1 < p < ?, where the kernel satisfies certain logarithmic type Lipschitz condition. Moreover, the weighted endpoint estimates when p = 1 are also obtained.