Wave front sets, local smoothing and Bourgain's circular maximal theorem
type: Item
instance of: scholarly article
title: Wave front sets, local smoothing and Bourgain's circular maximal theorem
zbMATH Open document ID: 0759.42016
DOI: 10.2307/2946549
author: Gerd Mockenhaupt
author: Andreas Seeger
author: Christopher D. Sogge
published in: Annals of Mathematics. Second Series
publication date: 1993-01-16T00:00:00Z
review text: The authors consider the maximal operators associated with circular means in two dimensions and their corresponding maximal operators. They obtain a new proof of Bourgain's circular maximal theorem [cf. \textit{J. Bourgain}, J. Anal. Mat. 47, 69-85 (1986; Zbl 0626.42012)] as well as a sharpening of known regularity results for the wave equation.
reviewed by: Mario Milman
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 90886
zbMATH Keywords: maximal operators
zbMATH Keywords: circular means
zbMATH Keywords: Bourgain's circular maximal theorem
zbMATH Keywords: regularity
zbMATH Keywords: wave equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/2946549
OpenAlex ID: W2326230082
Recommended article: Local smoothing estimates related to the circular maximal theorem
Recommended article: Q3645414
Recommended article: Global wave front sets in ultradifferentiable classes
Recommended article: Local wave-front sets of Banach and Fréchet types, and pseudo-differential operators
Recommended article: Q4954655
Recommended article: Q3958841
Recommended article: Microglobal regularity and the global wavefront set
Recommended article: Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application
Recommended article: Distributions and wave front sets in the uniform non‐archimedean setting
Recommended article: Wave-front sets related to quasi-analytic Gevrey sequences
description: scientific article; zbMATH DE number 90886