Chong-wei Liang

collaborators

11 papers

math.CA2026

Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights

Ji Li, Chong-Wei Liang, Chaojie Wen +1

Let $α > - 1/2$ , $α \neq = 0$ , and let $Δ_{α} = - \frac{d ^{2}}{d x ^{2}} - \frac{2 α}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} = (0, \infty)$ . We characterize boundedness and compactness…

math.CA2026

On the endpoint estimate for discrete spherical average over sparse sequences

Sanghyuk Lee, Ji Li, Chong-wei Liang +1

Let $d \geq 5$ . For a lacunary sequence of radii ${λ_{k}^{1/2}}$ in the \emph{highly composite} regime, that is $λ_{k} = μ_{k}!$ with $lo g μ_{k} / lo g k \to \infty$ as $k \to \infty$ ,…

math.CO2026

Peres--Schlag's nonempty-interior problem and a shifted-product variant for product sets

Guo-Dong Hong, Chong-Wei Liang, Chun-Yen Shen

We study finite-field analogues of the Peres--Schlag nonempty-interior problem for product sets. Given $A\subseteq\mathbb F_p$, we ask when a suitable one-dimensional linear imag…

math.CA2026

On the Peres--Schlag orthogonal projection problem and Kakeya-type sets

Guo-Dong Hong, Chong-Wei Liang, Chun-Yen Shen

We investigate the Peres--Schlag nonempty interior problem for orthogonal projections in both the finite-field and Euclidean settings. Over finite fields $F_{q}^{n}$ , we employ…

math.CA2026

A curved three-point pattern problem for fractal sets on the real line

Surjeet Singh Choudhary, Chong-Wei Liang, Chun-Yen Shen

We study the occurrence of curved three-point configurations in fractal subsets of the real line. We prove that if $E \subset [0,1]$ is a compact set with sufficiently large Haus…

math.CA2026

Haar bases for multi-parameter twisted structures

Ji Li, Chong-Wei Liang, Brett D. Wick +2

Motivated by the Cauchy--SzegÅ projections on a broad class of Siegel domains and the geometric quotient structures of nilpotent Lie groups observed by Nagel, Ricci, and Stein, we…