Sung-Yi Liao

works on

discrete maximal functions 1 hardy-littlewood maximal operator 1 harmonic analysis 1 higher order derivatives 1 l^p bounds 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.CA2026

Sharp higher order regularity of discrete maximal functions

Sung-Yi Liao, JosÃ© Madrid, Eyvindur Palsson +1

The paper obtains sharp ℓ^p(Z) bounds for the first and second discrete derivatives of the uncentered Hardy‑Littlewood maximal operator applied to binary functions on the integers,…

math.CA2026

On $L^{2}$ estimates for quadratic images of product Frostman measures

Sung-Yi Liao, Thang Pham, Chun-Yen Shen

Let $f \in R [x, y, z]$ be a fixed non-degenerate quadratic polynomial. Given an $I^\pm$ -Frostman probability measure $I^¼$ supported on $[0, 1]$ with $I^\pm \in (0, 1)$ , consider the push…

Sharp higher order regularity of discrete maximal functions

On L2 estimates for quadratic images of product Frostman measures

On $L^{2}$ estimates for quadratic images of product Frostman measures