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Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces (1909.13538v1)
Published 30 Sep 2019 in math.FA
Abstract: We study Fourier convolution operators $W0(a)$ with symbols equivalent to zero at infinity on a separable Banach function space $X(\mathbb{R})$ such that the Hardy-Littlewood maximal operator is bounded on $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$. We show that the limit operators of $W0(a)$ are all equal to zero.
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