OpenAI research collection · 1 manuscript · Source checked 2026-10-19
Resolves the three-dimensional Bochner–Riesz conjecture in its strict range: the Bochner–Riesz multipliers of order δ are bounded on L^p(\mathbb R^3) for every 1≤ p≤∞ whenever δ> \max\{3|1/p-1/2|-1/2,0\}.
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We prove the three-dimensional Bochner–Riesz conjecture in its strict-order formulation. The main result is boundedness of the Bochner–Riesz multipliers on L^3(\mathbb R^3) for every positive order. Interpolation and duality then give the full conjectured strict range.
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