2024-03-29T08:45:59Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00028228
2023-01-16T04:20:39Z
697:698:699
A local-to-global boundedness argument and Fourier integral operators
Ruzhansky, Michael
Sugimoto, Mitsuru
open access
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Integral operators
L^p-boundedness
Fourier integral operators
We give a criterion for the global boundedness of integral operators which are known to be locally bounded. As an application, we discuss the global L^p-boundedness for a class of Fourier integral operators. While the local L^p-boundedness of Fourier integral operators is known from the work of Seeger, Sogge and Stein [SSS91], not so many results are available for the global boundedness on L^p(R^n). We give several natural sufficient conditions for them.
ファイル公開:2021-05-15
Elsevier
2019-05-15
eng
journal article
AM
http://hdl.handle.net/2237/00030424
https://nagoya.repo.nii.ac.jp/records/28228
https://doi.org/10.1016/j.jmaa.2018.12.074
0022-247X
Journal of Mathematical Analysis and Applications
473
2
892
904
https://nagoya.repo.nii.ac.jp/record/28228/files/local2global_2018-06-05.pdf
application/pdf
125.0 kB
2021-05-15