PreprintCC BY 4.0arXiv
Multilinear transference on product spaces and applications
Abstract
We establish transference results for multilinear Fourier multiplier operators from Euclidean spaces to product spaces of the form ℝd1×𝕋d2. We prove strong and weak-type transference principles that preserve the corresponding Euclidean operator bounds. As applications, we obtain bounds for certain multilinear operators, as well as for some multiplier operators arising naturally in PDEs.
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BibTeX
@misc{benyi2026multilinear,
title = {{Multilinear transference on product spaces and applications}},
author = {Árpád Bényi and Tadahiro Oh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05973},
eprint = {2610.05973},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05973},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multilinear transference on product spaces and applications
AU - Árpád Bényi
AU - Tadahiro Oh
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.05973
UR - https://arxiv.org/abs/2610.05973
AB - We establish transference results for multilinear Fourier multiplier operators from Euclidean spaces to product spaces of the form ℝ^d_1×𝕋^d_2. We prove strong and weak-type transference principles that preserve the corresponding Euclidean operator bounds. As applications, we obtain bounds for certain multilinear operators, as well as for some multiplier operators arising naturally in PDEs.
ER -