The boundedness of h-admissible Fourier integral operators on Bessel potential spaces

被引：8

作者：

Aid, Omar Farouk ^{[1
]}

Senoussaoui, Abderrahmane ^{[1
]}

机构：

[1] Univ Oran1, Fac Exact & Appl Sci, Lab Fundamental & Appl Math Oran LMFAO, Dept Math, Oran, Algeria

来源：

TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 05期

关键词：

h-admissible Fourier integral operators; symbol and phase; Sobolev and Bessel potential spaces;

D O I：

10.3906/mat-1904-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to study the boundedness of h-admissible Fourier integral operators. These operators are bounded on the Bessel potential spaces if the weight of the amplitude is bounded.

引用

页码：2125 / 2141

页数：17

共 11 条

[1]

Abels H., 2012, Pseudodifferential and Singular Integral Operators: An Introduction with Applications

[2] h-Admissible Fourier integral operators [J].

Aitemrar, Chafika Amel ;

Senoussaoui, Abderrahmane .

TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (03) :553-568

[3] SPATIALLY INHOMOGENEOUS PSEUDODIFFERENTIAL OPERATORS .2. [J].

BEALS, R .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (02) :161-205

[4]

CALDERON AP, 1971, J MATH SOC JPN, V23, P374

[5] FOURIER INTEGRAL OPERATORS. II [J].

Duistermaat, J. J. ;

Hormander, L. .

ACTA MATHEMATICA, 1972, 128 (01) :183-269

[6] ESTIMATES FOR SINGULAR RADON TRANSFORMS AND PSEUDODIFFERENTIAL-OPERATORS WITH SINGULAR SYMBOLS [J].

GREENLEAF, A ;

UHLMANN, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 89 (01) :202-232

[7] A class of unbounded Fourier integral operators [J].

Hasanov, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 225 (02) :641-651

[8]

Helffer B., 1984, SOC MATH FRANCE ASTE, V112

[9] FOURIER INTEGRAL OPERATORS .1. [J].

HORMANDER, L .

ACTA MATHEMATICA UPPSALA, 1971, 127 (1-2) :79-+

[10]

Messirdi B, 2005, Z ANAL ANWEND, V24, P581

← 1 2 →