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math.CA2020
A Polynomial Roth Theorem for Corners in Finite Fields
Rui Han, Michael T Lacey, Fan Yang
We prove a Roth type theorem for polynomial corners in the finite field setting. Let and be two polynomials of distinct degree. For sufficiently large primes , any s…
math.CA2020
Compactness of commutator of Riesz transforms in the two weight setting
Michael Lacey, Ji Li
We characterize the compactness of commutators in the Bloom setting. Namely, for a suitably non-degenerate Calderón--Zygmund operator , and a pair of weights , the…