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On the contractivity of the Riesz projection
Abstract
This note presents a proof that the Riesz projection is contractive from Lq to L4(1−1/q) for the case 1<q<∞. This fills in the previously unresolved parameter range of a conjecture of Brevig, Ortega-Cerdà, Seip, and Zhao.
Related
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BibTeX
@misc{fu2026contractivity,
title = {{On the contractivity of the Riesz projection}},
author = {Xiangdi Fu and Dilong Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08603},
eprint = {2609.08603},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08603},
}
RIS
TY - UNPB
TI - On the contractivity of the Riesz projection
AU - Xiangdi Fu
AU - Dilong Li
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08603
UR - https://arxiv.org/abs/2609.08603
AB - This note presents a proof that the Riesz projection is contractive from L^q to L^4(1−1/q) for the case 1<q<∞. This fills in the previously unresolved parameter range of a conjecture of Brevig, Ortega-Cerdà, Seip, and Zhao.
ER -