@article{f8b0687b759a4143bbd669df6b0d2edd,
title = "Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces",
abstract = "We prove that nondegenerate singular integral operators of convolution type are bounded on a rearrangement-invariant Banach function space X(Rd) if and only if its Boyd indices are nontrivial, extending the result by David Boyd (1966) for the Hilbert transform.",
keywords = "Boyd indices, Calder{\'o}n-Zygmund singular integral operators of convolution type, rearrangement-invariant Banach function spaces",
author = "Oleksiy Karlovych and Eugene Shargorodsky",
note = "Funding Information: Mathematical Reviews subject classification: Primary: 42B20, 46E30. Key words: Calder{\'o}n-Zygmund singular integral operators of convolution type, rearrangement-invariant Banach function spaces, Boyd indices. Received by the editors August 21, 2022 Communicated by: Andrei K. Lerner ∗Corresponding Author †This work is funded by national funds through the FCT - Funda¸c{\~a}o para a Ciencia e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 and UIDP/00297/2020 (Center for Mathematics and Applications). Publisher Copyright: {\textcopyright} 2023 Michigan State University Press. All rights reserved.",
year = "2023",
month = feb,
day = "28",
doi = "10.14321/realanalexch.48.1.1661058123",
language = "English",
volume = "48",
pages = "139--148",
journal = "Real Analysis Exchange ",
issn = "0147-1937",
publisher = "Michigan State University Press",
number = "1",
}