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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Bibliographic Details

Published in:	The Journal of geometric analysis Vol. 33; no. 9
Main Author:	Shayya, Bassam
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2023
Subjects:	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
Online Access:	Get full text
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