For arbitrary complex F,G in L3(R²), the supremum of the triangular Hilbert transform over both finite hard-truncation endpoints is bounded in L^(3/2)(R²) by C times the two L3 norms.
For arbitrary complex F,G in L3(R²), the supremum of the triangular Hilbert transform over both finite hard-truncation endpoints is bounded in L^(3/2)(R²) by C times the two L3 norms.
For arbitrary complex F,G in L3(R²), the supremum of the triangular Hilbert transform over both finite hard-truncation endpoints is bounded in L^(3/2)(R²) by C times the two L3 norms.
If correct, gives a scale-uniform pointwise maximal estimate at the symmetric triangular Hilbert exponent.
Can the triangular Hilbert transform be bounded uniformly when both truncation endpoints vary pointwise?
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OpenAI reports the symmetric maximal triangular Hilbert estimate
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