King's College London

Research portal

Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces

Research output: Contribution to journalArticlepeer-review

Eugene Shargorodsky, Oleksiy Karlovych

Original languageEnglish
JournalReal Analysis Exchange
Accepted/In press31 Aug 2022

King's Authors


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.

View graph of relations

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454