PreprintCC BY 4.0arXiv
A Note on the Norm of the Embedding of PW2 into PWq
Abstract
We improve the currently best known bound for the norm of the embedding of PW2 into PWq for all q>2. We show that our bound is asymptotically optimal as q→ ∞. Our approach combines the recently established theorem of optimal Paley-Wiener concentration with a Hardy-Littlewood-Pólya majorization argument.
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BibTeX
@misc{garrido2026note,
title = {{A Note on the Norm of the Embedding of $\textPW^2$ into $\textPW^q$}},
author = {Iñaki Garrido and Filippo Persico and Denis Zelent},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02541},
eprint = {2609.02541},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02541},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Note on the Norm of the Embedding of PW^2 into PW^q
AU - Iñaki Garrido
AU - Filippo Persico
AU - Denis Zelent
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02541
UR - https://arxiv.org/abs/2609.02541
AB - We improve the currently best known bound for the norm of the embedding of PW^2 into PW^q for all q>2. We show that our bound is asymptotically optimal as q→ ∞. Our approach combines the recently established theorem of optimal Paley-Wiener concentration with a Hardy-Littlewood-Pólya majorization argument.
ER -