A uniform estimate

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Uniform Bounds for the Bilinear Hilbert Transforms, II (2006, unknown): “Thiele [10], [11] who obtained that the H1,α’s map L2(R)× L2(R) → L1,∞(R) uniformly in α satisfying |α− 1| ≥ δ > 0.”
The disc as a bilinear multiplier (2006, methodology): “We now use a telescoping argument, inspired by [15], to write ∫”
Rough Bilinear Singular Integrals (2015, background): “The boundedness ofHθ1,θ2 was proved by Lacey and Thiele [22], [23] while the more relevant, for this problem, uniform in θ1,θ2 boundedness ofHθ1,θ2 was addressed by Thiele [31], Grafakos and Li [18], and Li [24].”