A multiplier relation for Calderón-Zygmund operators on 𝐿¹({ℝ}ⁿ)

Bennett, Jonathan

doi:10.1090/S0002-9939-99-04656-0

A multiplier relation for Calderón-Zygmund operators on $L^1(\mathbb \{R\}^n)$
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Proc. Amer. Math. Soc. 127 (1999), 715-723 Request permission

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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