@article {7427,
	title = {Commutators of convolution type operators on some Banach function spaces},
	journal = {Annals of Functional Analysis},
	volume = {6},
	year = {2015},
	pages = {191-205},
	abstract = {<script src={\textquoteright}https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML{\textquoteright}></script><p>We study the boundedness of Fourier convolution operators \(W^0(b)\) and the compactness of commutators of \(W^0(b)\) with multiplication operators \(aI\) on some Banach function spaces \(X(\mathbb{R})\) for certain classes of piecewise quasicontinuous functions \(a\in PQC\) and piecewise slowly oscillating Fourier multipliers \(b\in PSO_{X,1}^\diamond\). We suppose that \(X(\mathbb{R})\) is a separable rearrangement-invariant space with nontrivial Boyd indices or a reflexive variable Lebesgue space, in which the Hardy-Littlewood maximal operator is bounded. Our results complement those of Isaac De La Cruz-Rodr{\'\i}guez, Yuri Karlovich, and Iv{\'a}n Loreto Hern{\'a}ndez obtained for Lebesgue spaces with Muckenhoupt weights. </p>
},
	url = {http://projecteuclid.org/euclid.afa/1435764011},
	author = {Karlovich, Alexei Yu.}
}
