Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^{p}}$$\end{document} estimates for rough Fourier integral operatorsLp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^{p}}$$\end{document} estimates for rough Fourier integral operatorsG. Wu and J. Yang

被引:0
作者
Guoning Wu [1 ]
Jie Yang [1 ]
机构
[1] Xinjiang University,College of Mathematics and System Science
关键词
Fourier integral operators; Rough amplitude; Inhomogeneous phase; Primary 42B20; Secondary 42B37;
D O I
10.1007/s00013-024-02050-5
中图分类号
学科分类号
摘要
In this paper, we obtain the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^p}$$\end{document} boundedness of Fourier integral operators with rough amplitude a∈L∞Sρm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a \in {L^\infty }S_\rho ^m$$\end{document} and phase φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document} that satisfies some generalized derivative estimation and some measure condition. Our main conclusions extend and improve some known results about Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^p}$$\end{document} boundedness of Fourier integral operators.
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页码:83 / 97
页数:14
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