dc.contributor.author | Castro, Alejandro J. | |
dc.contributor.author | Israelsson, Anders | |
dc.contributor.author | Staubach, Wolfgang | |
dc.date.accessioned | 2021-08-06T05:25:24Z | |
dc.date.available | 2021-08-06T05:25:24Z | |
dc.date.issued | 2021-06-05 | |
dc.identifier.citation | Castro, A. J., Israelsson, A., & Staubach, W. (2021). Regularity of Fourier integral operators with amplitudes in general Hörmander classes. Analysis and Mathematical Physics, 11(3). https://doi.org/10.1007/s13324-021-00552-x | en_US |
dc.identifier.issn | 1664-2368 | |
dc.identifier.uri | https://link.springer.com/article/10.1007%2Fs13324-021-00552-x | |
dc.identifier.uri | https://doi.org/10.1007/s13324-021-00552-x | |
dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5662 | |
dc.description.abstract | We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmander classes Sρ,δm(Rn) for parameters 0 ≤ ρ≤ 1 , 0 ≤ δ< 1. We also consider the regularity of operators with amplitudes in the exotic class S0,δm(Rn), 0 ≤ δ< 1 and the forbidden class Sρ,1m(Rn), 0 ≤ ρ≤ 1. Furthermore we show that despite the failure of the L2-boundedness of operators with amplitudes in the forbidden class S1,10(Rn), the operators in question are bounded on Sobolev spaces Hs(Rn) with s> 0. This result extends those of Y. Meyer and E. M. Stein to the setting of Fourier integral operators. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Birkhauser | en_US |
dc.relation.ispartofseries | Analysis and Mathematical Physics;volume 11, Article number: 121 (2021) | |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | Fourier integral operators | en_US |
dc.subject | Hyperbolic PDEs | en_US |
dc.subject | Hörmander classes | en_US |
dc.subject | Type of access: Open Access | en_US |
dc.title | REGULARITY OF FOURIER INTEGRAL OPERATORS WITH AMPLITUDES IN GENERAL HÖRMANDER CLASSES | en_US |
dc.type | Article | en_US |
workflow.import.source | science |
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