Proceedings of the American Mathematical Society

A multiplier relation for Calderón-Zygmund operators on $L^{1}(\mathbb{R}^{n})$

Author(s): Jonathan Bennett
Journal: Proc. Amer. Math. Soc. 127 (1999), 715-723.
MSC (1991): Primary 42B20
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Abstract: A generalised integral is used to obtain a Fourier multiplier relation for Calderón-Zygmund operators on $L^1({\mathbb R}^{n})$ . In particular we conclude that an operator in our class is injective on $L^1({\mathbb R}^{n})$ if it is injective on $L^2({\mathbb R}^n)$ .

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