Improved Weighted Restriction Estimates in R3

Suppose 0 < α ≤ n , H : R n → [ 0 , 1 ] is a Lebesgue measurable function, and A α ( H ) is the infimum of all numbers C for which the inequality ∫ B H ( x ) d x ≤ C R α holds for all balls B ⊂ R n of radius R ≥ 1 . After Guth introduced polynomial partitioning to Fourier restriction theory, weig...

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Vydané v:	The Journal of geometric analysis Ročník 33; číslo 9
Hlavný autor:	Shayya, Bassam
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.09.2023
Predmet:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics 28A75 Fourier restriction Polynomial partitioning Extension operator 42B20 42B10 Weighted restriction estimates
ISSN:	1050-6926, 1559-002X
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