arXiv Open Access 2023

Optimal weighted Fourier restriction estimates for the sphere in 2D

Rainer Mandel

Lihat Sumber

Abstrak

We prove weighted versions of the 2D Restriction Conjecture for the unit sphere in $\mathbb{R}^2$. Our results involve the weight functions $(1+|x|)^α(1+|y|)^β$ and $(1+|x|+|y|)^γ$ with $α,β,γ\geq 0$.

Topik & Kata Kunci

math.AP

Penulis (1)

Rainer Mandel

Format Sitasi

APA MLA BibTeX

Mandel, R. (2023). Optimal weighted Fourier restriction estimates for the sphere in 2D. https://arxiv.org/abs/2310.13750

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓