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arXiv · 2408.08643

A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces

Michael Ruzhansky·Kanat Tulenov
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Abstract

In this work, we study Fourier multipliers on noncommutative spaces. In particluar, we show a simple proof of $L^p$-$L^q$ estimate of Fourier multipliers on general noncommutative spaces associated with semi-finite von Neumann algebras. This includes the case of Fourier multipliers on general locally compact unimodular groups.

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Michael Ruzhansky, Kanat Tulenov. 2024-08-16. A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces. https://doi.org/10.1007/s43036-025-00436-y

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