Work

A Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$

Year: 2026

Type: preprint

Abstract: 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 $q\to \infty$. Our approach combines the recently established theorem of optimal Paley-Wiener concentration with a Hardy-Littlewood-Pólya majorization argument.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.02541

Authors: Garrido, Iñaki, Persico, Filippo, Zelent, Denis

Institutions: Universitat de Barcelona, University of Milan, Norwegian University of Science and Technology

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Universitat de Barcelona

OpenAlex ID: W7207770659

Cites: 2

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Related to: 10