A local-to-global boundedness argument and Fourier integral operators

• Ruzhansky, Michael

• Sugimoto, Mitsuru

Abstract

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.

Journal

• Journal of Mathematical Analysis and Applications

  Journal of Mathematical Analysis and Applications 473 (2), 892-904, 2019-05-15

  Elsevier

Keywords

• Integral operators
• L^p-boundedness
• Fourier integral operators

Details

• CRID: 1050001202958525056
• NII Article ID: 120006643290
• DOI: 10.1016/j.jmaa.2018.12.074
• HANDLE: 2237/00030424
• ISSN: 0022247X
• Web Site: https://nagoya.repo.nii.ac.jp/records/28228
• Web Site: https://api.elsevier.com/content/article/PII:S0022247X19300162?httpAccept=text/xml
• Web Site: https://api.elsevier.com/content/article/PII:S0022247X19300162?httpAccept=text/plain
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN