Boundedness of certain commutators on Triebel-Lizorkin spaces (Q879062)

Let \(T\), defined by \[ Tf=\int_{\mathbb R^n}\frac{\Omega(x-y)}{| x-y|^n}f(y)\,dy, \] be the classical singular integral operator and let \(b \in BMO (\mathbb R^n)\). The paper deals with conditions for \(\Omega\) such that the commutator \([b,T]\) is bounded in \(\dot{F}^0_{p,q} (\mathbb R^n)\). There are similar results for generalized operators \(T\).