Bla.zej Wr'obel

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20222026

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math.CA2024

Dimension-free Fourier restriction inequalities

Diogo Oliveira e Silva, Błażej Wróbel

Let $R_{S^{d - 1}} (p \to q)$ denote the best constant for the $L^{p} (R^{d}) \to L^{q} (S^{d - 1})$ Fourier restriction inequality to the unit sphere $\mathbb{…

math.FA2024

Dimension-free estimates for low degree functions on the Hamming cube

Komla Domelevo, Polona Durcik, Valentia Fragkiadaki +4

The main result of this paper are dimension-free $L^{p}$ inequalities, $1 < p < \infty$ , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $p > 2,$ $\vare…