Boundedness for multilinear Littlewood-Paley operators on Triebel-Lizorkin spaces (Q2388289)

The author studies a class of multilinear Littlewood-Paley operators related to a function on \(\mathbb R^n\), whose \(m\)-th remainders of the Taylor series are in a certain Lipschitz space. He obtains its various boundedness from certain Lebesgue space to certain Triebel-Lizorkin space, from certain Lebesgue space to another Lebesgue space and from \(L^1(\mathbb R^n)\) to weak \(L^1(\mathbb R^n)\).