帕利-维纳空间中的优化问题和点评估

arXiv - MATH - Functional Analysis Pub Date : 2024-09-18 DOI:arxiv-2409.11963

Sarah May Instanes

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摘要

我们研究的常数$\mathscr{C}_p$是指对于帕利-维纳空间$PW^p$中的每个函数$f$，使得$|f(0)|^p \leq C\|f\|_p^p$ 成立的最小常数$C$。Brevig、Chirre、Ortega-Cerd\`a 和 Seip 最近证明了 $/mathscr{C}_p2$。我们通过求解一个优化问题，改进了$2

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An optimization problem and point-evaluation in Paley-Wiener spaces

We study the constant $\mathscr{C}_p$ defined as the smallest constant $C$ such that $|f(0)|^p \leq C\|f\|_p^p$ holds for every function $f$ in the Paley-Wiener space $PW^p$. Brevig, Chirre, Ortega-Cerd\`a, and Seip have recently shown that $\mathscr{C}_p

2$. We improve this bound for $2

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arXiv - MATH - Functional Analysis

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