Local smoothing estimates for some half-wave operators
type: Item
instance of: scholarly article
title: Local smoothing estimates for some half-wave operators
zbMATH Open document ID: 1222.42013
author: Chan Woo Yang
author: Yaryong Heo
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-06-20T00:00:00Z
review text: There is a local smoothing conjecture for the wave operators which implies the cone multiplier conjecture and the Bochner-Riesz conjecture. Some papers have been written trying to improve given results concerning the involved dimension and the parameters. The authors extend the local smoothing estimates for the wave operator in [\textit{Y.-Y. Heo}, \textit{F. Nazarov} and \textit{A. Seeger}, ``Radial Fourier multipliers in high dimensions'', Preprint (2009; \\url{arxiv:0902.0943})] to a more general class of half-wave operators associated to nondegenerate convex hypersurfaces except for endpoints.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42B37
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5909839
zbMATH Keywords: local smoothing
zbMATH Keywords: wave operators
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.02.071
OpenAlex ID: W2070023726
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DOI: 10.1016/J.JMAA.2011.02.071
description: scientific article; zbMATH DE number 5909839