L. Pierce

activity

20102022

most citedEndpoint Sobolev and BV continuity for maximal operators

57 citations · 172 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Geometric generalizations of the square sieve, with an application to cyclic covers

Alina Bucur, Alina Carmen Cojocaru, Matilde N. Lalín +1

We formulate a general problem: given projective schemes $Y$ and $X$ over a global field $K$ and a $K$ -morphism $η$ from $Y$ to $X$ of finite de…

math.CA2021★ 1 cited

On the strict majorant property in arbitrary dimensions

Philip T. Gressman, Shaoming Guo, Lillian B. Pierce +2

In this work we study $d$ -dimensional majorant properties. We prove that a set of frequencies in $Z^{d}$ satisfies the strict majorant property on $L^{p} ([0, 1]^{d})$ for all $p…

math.CA2021

Counterexamples for high-degree generalizations of the Schrödinger maximal operator

Chen An, Rena Chu, Lillian B. Pierce

In 1980 Carleson posed a question on the minimal regularity of an initial data function in a Sobolev space $H^{s} (R^{n})$ that implies pointwise convergence for the solution o…