Noncompactness of Fourier Convolution Operators on Banach Function Spaces

30 Sep 2019 Fernandes Cláudio A. Karlovich Alexei Yu. Karlovich Yuri I.

Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy-Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$. Suppose $a$ is a Fourier multiplier on the space $X(\mathbb{R})$... (read more)

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  • FUNCTIONAL ANALYSIS