The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$–Boundedness of Commutators of Multipliers.

In this paper, we study the commutator generalized by a multiplier and a Lipschitz function. Under some assumptions, we establish the boundedness properties of it from L ^p(ℝ ⁿ) into $$ {\dot{F}^{{\beta ,\infty }}_{p} } $$ (ℝ ⁿ), the Triebel–Lizorkin spaces. [ABSTRACT FROM AUTHOR]