Restricted Radon transforms and unions of hyperplanes
type: Item
instance of: scholarly article
title: Restricted Radon transforms and unions of hyperplanes
zbMATH Open document ID: 1117.28003
DOI: 10.4171/RMI/481
author: Daniel M. Oberlin
published in: Revista Matemática Iberoamericana
publication date: 2007-05-03T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmi/1169480038
full work available at URL: https://eudml.org/doc/42000
review text: Summary: We study \(L^p(\mathbb{R}^n)\to L^{\alpha,\infty}_{d\mu(\sigma)} (L^\infty_{dt})\) estimates for the Radon transform in certain cases where the dimension of the measure \(\mu\) on \(\Sigma^{(n-1)}\) is less than \(n-1\).
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 5149126
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: Besicovitch set
MaRDI profile type: Publication
cites work: Besicovitch type maximal operators and applications to Fourier analysis
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description: scientific article; zbMATH DE number 5149126