$L^p$-$L^q$ estimate of the Fourier multipliers on noncommutative spaces

Autor: Ruzhansky, Michael, Tulenov, Kanat
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 10 pages
Databáze: arXiv