Po‐Lam Yung

collaborators

4 papers

math.CA2026

Two weight estimates for difference quotients

Carlos Perez, Andreas Seeger, Brian Street +1

We prove local and global two weight estimates in which we bound difference quotients of a function in terms of certain weighted $L^{p}$ norms of its gradient.

math.AP2026

Function spaces for decoupling

Andrew Hassell, Pierre Portal, Jan Rozendaal +1

We introduce new function spaces $L_{W, s}^{q, p} (R^{n})$ that yield a natural reformulation of the $ℓ^{q} L^{p}$ decoupling inequalities for the sphere and the…

math.CA2025

A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve

Anthony Carbery, Zane Kun Li, Yixuan Pang +1

Let $I^$ be a compact patch of a well-curved $C^{n + 1}$ curve in $R^{n}$ with induced Lebesgue measure $d I^»$ , and let $g \mapsto g d I^»$ be the Fourie…

math.CA2024

On Polynomial Carleson operators along quadratic hypersurfaces

Theresa C. Anderson, Dominique Maldague, Lillian B. Pierce +1

We prove that a maximally modulated singular oscillatory integral operator along a hypersurface defined by $(y, Q (y)) \subseteq R^{n + 1}$ , for an arbitrary non-degenerate qua…