Alexander Barron

activity

20172020

most citedOn Global-in-Time Strichartz Estimates for the Semiperiodic Schrödinger Equation

20 citations · 54 across the 7 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 16 cited

Sparse Domination for Bi-Parameter Operators Using Square Functions

Alexander Barron, Jill Pipher

Let $S$ be the dyadic bi-parameter square function $S f (x)^{2} = R \in D \sum ∣ ⟨ f, h_{R} ⟩ ∣^{2} \frac{1 _{R} ( x )}{∣ R ∣} .$ We prove that if $T$ is a bi-parame…

math.CA2017★ 10 cited

Weighted Estimates for Rough Bilinear Singular Integrals via Sparse Domination

Alexander Barron

We prove weighted estimates for rough bilinear singular integral operators with kernel $K (y_{1}, y_{2}) = \frac{Ω (( y _{1} , y _{2} ) /∣ ( y _{1} , y _{2} ) ∣ )}{∣ ( y _{1} , y _{2} ) ∣ ^{2 d}},$ where $y_i \in \mathbb{…