Sharp \(\ell^p\)-improving estimates for the discrete paraboloid
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Publication:2226042
DOI10.1007/s00041-020-09801-2zbMath1457.42013arXiv2002.11758OpenAlexW3118660299MaRDI QIDQ2226042
Ciprian Demeter, Bartosz Langowski, Shival Dasu
Publication date: 11 February 2021
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11758
Gauss and Kloosterman sums; generalizations (11L05) Multipliers in one variable harmonic analysis (42A45)
Related Items (3)
Some subcritical estimates for the \(\ell^p\)-improving problem for discrete curves ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ Averaging with the divisor function: \(\ell^p\)-improving and sparse bounds
Cites Work
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Improving estimates for discrete polynomial averages
- \(\ell^p\)-improving for discrete spherical averages
- \(\ell^p\)-improving inequalities for discrete spherical averages
- Averages along the primes: improving and sparse bounds
- Quantitative \(l^p\)-improving for discrete spherical averages along the primes
- The proof of the \(l^2\) decoupling conjecture
- Fourier Restriction, Decoupling, and Applications
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