Transference of multilinear Fourier and Schur multipliers acting on noncommutative $L_p$-spaces for non-unimodular groups
Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 197-223
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In Caspers et al. (Can. J. Math. 75[6] [2022], 1–18), transference results between multilinear Fourier and Schur multipliers on noncommutative $L_p$-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.
Mots-clés :
Locally compact groups, noncommutative Lp spaces, noncommutative harmonic analysis, Fourier multipliers, Schur multipliers
Vos, Gerrit. Transference of multilinear Fourier and Schur multipliers acting on noncommutative $L_p$-spaces for non-unimodular groups. Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 197-223. doi: 10.1017/S0017089524000326
@article{10_1017_S0017089524000326,
author = {Vos, Gerrit},
title = {Transference of multilinear {Fourier} and {Schur} multipliers acting on noncommutative $L_p$-spaces for non-unimodular groups},
journal = {Glasgow mathematical journal},
pages = {197--223},
year = {2025},
volume = {67},
number = {2},
doi = {10.1017/S0017089524000326},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000326/}
}
TY - JOUR AU - Vos, Gerrit TI - Transference of multilinear Fourier and Schur multipliers acting on noncommutative $L_p$-spaces for non-unimodular groups JO - Glasgow mathematical journal PY - 2025 SP - 197 EP - 223 VL - 67 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000326/ DO - 10.1017/S0017089524000326 ID - 10_1017_S0017089524000326 ER -
%0 Journal Article %A Vos, Gerrit %T Transference of multilinear Fourier and Schur multipliers acting on noncommutative $L_p$-spaces for non-unimodular groups %J Glasgow mathematical journal %D 2025 %P 197-223 %V 67 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000326/ %R 10.1017/S0017089524000326 %F 10_1017_S0017089524000326
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