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.
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页码：175 / 207
页数：33
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