@article {7092,
	title = {Banach algebra of the Fourier multipliers on weighted Banach function spaces},
	journal = {Concrete Operators},
	volume = {2},
	year = {2015},
	pages = {27-36},
	abstract = {<script src={\textquoteright}https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML{\textquoteright}></script><p>Let \(\mathcal{M}_{X,w}(\mathbb{R})\) denote the algebra of the Fourier multipliers on a separable weighted Banach function space \(X(\mathbb{R},w)\). We prove that if the Cauchy singular integral operator \(S\) is bounded on \(X(\mathbb{R},w)\), then \(\mathcal{M}_{X,w}(\mathbb{R})\) is continuously embedded into \(L^\infty(\mathbb{R})\).  An important consequence of the continuous embedding \(\mathcal{M}_{X,w}(\mathbb{R})\subset L^\infty(\mathbb{R})\) is that \(\mathcal{M}_{X,w}(\mathbb{R})\) is a Banach algebra.</p>
},
	url = {http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0001/conop-2015-0001.xml?format=INT},
	author = {Karlovich, Alexei Yu.}
}
