Young's inequality for the twisted convolution

DOI10.1007/s00041-023-10051-1OpenAlexW4388127327MaRDI QIDQ6082545

P. K. Ratnakumar

Publication date: 30 November 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-023-10051-1

zbMATH Keywords

\(L^p\) boundednesstwisted convolutionbilinear mapsYoung's inequality

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

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• A boundedness result for twisted convolution
• Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.
• A sharpened inequality for twisted convolution
• On \(L^p\rightarrow L^q\) boundedness of the twisted convolution operators

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