Under boundedness of the Hardy-Littlewood maximal operator, every compact operator on a reflexive Banach function space belongs to the algebra generated by multiplication and Fourier convolution operators with continuous symbols.
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Algebra of convolution type operators with continuous data on Banach function spaces
Under boundedness of the Hardy-Littlewood maximal operator, every compact operator on a reflexive Banach function space belongs to the algebra generated by multiplication and Fourier convolution operators with continuous symbols.