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Weak type (1,1) boundedness of Bochner--Riesz means at the critical index on quantum tori
Abstract
We establish a weak type (1,1) estimate for the Bochner--Riesz mean operator at the critical index δ=(d−1)/2 on the quantum torus 𝕋dθ, where the associated kernel is rough.
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BibTeX
@misc{lai2026weak,
title = {{Weak type $(1,1)$ boundedness of Bochner--Riesz means at the critical index on quantum tori}},
author = {Xudong Lai},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03107},
eprint = {2610.03107},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03107},
}
RIS
TY - UNPB
TI - Weak type (1,1) boundedness of Bochner--Riesz means at the critical index on quantum tori
AU - Xudong Lai
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03107
UR - https://arxiv.org/abs/2610.03107
AB - We establish a weak type (1,1) estimate for the Bochner--Riesz mean operator at the critical index δ=(d−1)/2 on the quantum torus 𝕋^d_θ, where the associated kernel is rough.
ER -