A note on Lp-Lq boundedness of Fourier multipliers on noncommutative spaces
Ruzhansky M. Tulenov K.
April 2025Birkhauser
Advances in Operator Theory
2025#10Issue 2
In this work, we study Fourier multipliers on noncommutative spaces. In particular, we show a simple proof of Lp-Lq 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.
Fourier multiplier , Lp-Lq estimate , Noncommutative space , Semifinite von Neumann algebra
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling
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