Abstract
We prove that nondegenerate singular integral operators of convolution type are bounded on a rearrangement-invariant Banach function space $X(\mathbb{R}^d)$ if and only if its Boyd indices are nontrivial, extending the result by David Boyd (1966) for the Hilbert transform.
Citation
Oleksiy Karlovych. Eugene Shargorodsky. "Remark on Singular Integral Operators of Convolution Type on Rearrangement-Invariant Banach Function Spaces." Real Anal. Exchange 48 (1) 139 - 148, 2023. https://doi.org/10.14321/realanalexch.48.1.1661058123
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