A local-to-global boundedness argument and Fourier integral operators
Journal of Mathematical Analysis and Applications
MetadataShow full item record
© 2019 Elsevier Inc. 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 Lp-boundedness for a class of Fourier integral operators. While the local Lp-boundedness of Fourier integral operators is known from the work of Seeger, Sogge and Stein , not so many results are available for the global boundedness on Lp(Rn). We give several natural sufficient conditions for them.
AuthorsRuzhansky, M; Sugimoto, M
- Mathematics