Minh-Quy Pham

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20222026

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math.CA2024

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

For $0 < α \leq 1$ , let $E$ be a compact subset of the $d$ -dimensional moment curve in $R^{d}$ such that $N (E, ε) ≲ ε^{- α}$ for $0 < ε < 1$ …

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

Lp-integrability of functions with Fourier supports on fractal sets on the moment curve

Packing sets in Euclidean space by affine transformations

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve