Characterizations of the Hardy space H1FIO(Rn) for Fourier integral operators

被引：1

作者：

Fan, Zhijie ^{[1
]}

Liu, Naijia ^{[3
]}

Rozendaal, Jan ^{[2
]}

Song, Liang ^{[3
]}

机构：

[1] Stat Wuhan Univ, Sch Math, Wuhan 430072, Peoples R China

[2] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

[3] Sun Yat sen Univ, Sch Math, Guangzhou 510275, Peoples R China

来源：

STUDIA MATHEMATICA | 2023年 / 270卷 / 02期

基金：

中国博士后科学基金; 澳大利亚研究理事会;

关键词：

Fourier integral operators; Hardy spaces; Littlewood-Paley g func-tion; maximal function; 2ND-ORDER HYPERBOLIC OPERATORS; NONSMOOTH COEFFICIENTS; BESOV-LIPSCHITZ;

D O I：

10.4064/sm220217-19-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hardy spaces for Fourier integral operators HpFIO(Rn), for 1 <= p <= infinity, were introduced by Smith and by Hassell et al. In this article, we give several equivalent characterizations of H1FIO(Rn), for example in terms of Littlewood-Paley g functions and maximal functions. We also give several applications of the characterizations.

引用

页码：175 / 207

页数：33

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