GAUSSIANS NEVER EXTREMIZE STRICHARTZ INEQUALITIES FOR HYPERBOLIC PARABOLOIDS
For ξ = (ξ1, ξ2,...,ξd) ∈ Rd let Q(ξ) :=Σdj=1 σj ξ2j be a quadratic form with signs σj ∈ {±1} not all equal. Let S ⊂ Rd+1 be the hyperbolic paraboloid given by S = (ξ, τ) ∈ Rd × R : τ = Q(ξ)}. In this note we prove that Gaussians never extremize an Lp(Rd) → Lq(Rd+1) Fourier extension inequality asso...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |