OpenAI reports the bounded-data sphere restriction range
- Mathematics
The Fourier extension operator for the two-sphere maps bounded complex-valued data in L-infinity(S^2) to Lp(R^3) for every p > 3, with a constant depending only on p.
OpenAI reports the bounded-data sphere restriction range
- Mathematics
The Fourier extension operator for the two-sphere maps bounded complex-valued data in L-infinity(S^2) to Lp(R^3) for every p > 3, with a constant depending only on p.
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Understand the problem ↓Understanding the problem
Read the background
The Fourier extension operator for the two-sphere maps bounded complex-valued data in L-infinity(S^2) to Lp(R^3) for every p > 3, with a constant depending only on p.
Why it matters
If correct, reaches the sharp open exponent range for bounded-data spherical Fourier restriction in three dimensions.
What counts as progress
Does bounded data on the two-sphere have an Lp Fourier extension in three dimensions for every p > 3?
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