For every positive order delta, the three-dimensional Bochner–Riesz multiplier is bounded on L3(R³).
For every positive order delta, the three-dimensional Bochner–Riesz multiplier is bounded on L3(R³). Interpolation and duality yield the conjectured strict Lp boundedness range for all 1 <= p <= infinity.
For every positive order delta, the three-dimensional Bochner–Riesz multiplier is bounded on L3(R³). Interpolation and duality yield the conjectured strict Lp boundedness range for all 1 <= p <= infinity.
If correct, establishes the remaining central exponent and hence the full strict-order Bochner–Riesz multiplier range in three dimensions.
Are the three-dimensional Bochner–Riesz multipliers bounded throughout the conjectured strict-order range?
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OpenAI reports the three-dimensional Bochner–Riesz conjecture
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