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

2025

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DOI 10.1007/s43036-025-00436-y
Data confidence 70 medium
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Abstract

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