L. Pierce

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20132026

most citedPolynomial Carleson operators along monomial curves in the plane

12 citations · 23 across the 9 of their papers we have counts for

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math.CA2023

Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples

Rena Chu, Lillian B. Pierce

Let $T_{t}^{P_{2}} f (x)$ denote the solution to the linear Schrödinger equation at time $t$ , with initial value function $f$ , where $P_{2} (ξ) = ∣ ξ ∣^{2}$ . In 1980, Carleson asked for the mi…

math.CA2016★ 12 cited

Polynomial Carleson operators along monomial curves in the plane

Shaoming Guo, Lillian B. Pierce, Joris Roos +1

We prove $L^{p}$ bounds for partial polynomial Carleson operators along monomial curves $(t, t^{m})$ in the plane $R^{2}$ with a phase polynomial consisting of a single monomial.…