PreprintCC BY 4.0arXiv
Weighted decoupling inequalities via fractal bilinear Kakeya estimates
Abstract
Decoupling inequalities for the parabola are obtained for weights in physical space. The decoupling iteration relies on a fractal bilinear Kakeya estimate. We record applications to exponential sums.
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BibTeX
@misc{schippa2026weighted,
title = {{Weighted decoupling inequalities via fractal bilinear Kakeya estimates}},
author = {Robert Schippa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32655},
eprint = {2610.32655},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32655},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Weighted decoupling inequalities via fractal bilinear Kakeya estimates
AU - Robert Schippa
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32655
UR - https://arxiv.org/abs/2610.32655
AB - Decoupling inequalities for the parabola are obtained for weights in physical space. The decoupling iteration relies on a fractal bilinear Kakeya estimate. We record applications to exponential sums.
ER -