H s -Boundedness of a class of Fourier Integral Operators-Reference-Cited by-同舟云学术

H s -Boundedness of a class of Fourier Integral Operators

Published:2021-08-01 Issue:4 Volume:71 Page:889-902
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Aid Omar Farouk¹,Senoussaoui Abderrahmane¹

Affiliation:

1. Laboratoire de Mathématiques Fondamentales , et Appliquées d’Oran (LMFAO) , Université Oran1, Ahmed Ben Bella B.P. 1524 El M’naouar , Oran , Algeria

Abstract

Abstract In this paper, we define a particular class of Fourier Integral Operators (FIO for short). These FIO turn out to be bounded on the spaces S (ℝ n ) of rapidly decreasing functions (or Schwartz space) and S′ (ℝ n ) of temperate distributions. Results about the composition of FIO with its L 2-adjoint are proved. These allow to obtain results about the continuity on the Sobolev Spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0029/pdf

Reference19 articles.

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