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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 -dimensional majorant properties. We prove that a set of frequencies in satisfies the strict majorant property on 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 that implies pointwise convergence for the solution o…