TY - JOUR
T1 - Transference of multilinear Fourier and Schur multipliers acting on noncommutative Lp-spaces for non-unimodular groups
AU - Vos, Gerrit
PY - 2024
Y1 - 2024
N2 - In Caspers et al. (Can. J. Math. 75[6] [2022], 1-18), transference results between multilinear Fourier and Schur multipliers on noncommutative Lp-spaces were shown for unimodular groups. We propose a suitable extension of the definition of multilinear Fourier multipliers for non-unimodular groups and show that the aforementioned transference results also hold in this more general setting.
AB - In Caspers et al. (Can. J. Math. 75[6] [2022], 1-18), transference results between multilinear Fourier and Schur multipliers on noncommutative Lp-spaces were shown for unimodular groups. We propose a suitable extension of the definition of multilinear Fourier multipliers for non-unimodular groups and show that the aforementioned transference results also hold in this more general setting.
KW - Fourier multipliers
KW - Locally compact groups
KW - noncommutative harmonic analysis
KW - noncommutative Lp spaces
KW - Schur multipliers
UR - http://www.scopus.com/inward/record.url?scp=85210925788&partnerID=8YFLogxK
U2 - 10.1017/S0017089524000326
DO - 10.1017/S0017089524000326
M3 - Article
AN - SCOPUS:85210925788
SN - 0017-0895
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
ER -