Multilinear Pseudo-differential Operators with S0, 0 Class Symbols of Limited Smoothness

被引：0

作者：

Kato, Tomoya ^{[1
]}

机构：

[1] Gunma Univ, Fac Sci & Technol, Div Pure & Appl Sci, Kiryu, Gunma 3768515, Japan

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2023年 / 29卷 / 04期

关键词：

Multilinear pseudo-differential operators; Multilinear Hormander symbol classes; Local Hardy spaces; Wiener amalgam spaces; CAUCHY-PROBLEM; BOUNDEDNESS; LP; MODULATION; AMALGAMS; THEOREM; SPACES;

D O I：

10.1007/s00041-023-10016-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear Hormander class S-0,S-0. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.

引用

页数：37

共 50 条

[31] ON A SPECIAL CLASS OF PSEUDO-DIFFERENTIAL OPERATORS
FUJIWARA, D
JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1967, 14 : 221 - &
[32] Boundedness of multilinear pseudo-differential operators of S0,0-type in L2-based amalgam spaces
Kato, Tomoya
Miyachi, Akihiko
Tomita, Naohito
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2021, 73 (02) : 351 - 388
[33] Bilinear pseudo-differential operators with exotic symbols, II
Miyachi, Akihiko
Tomita, Naohito
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (02) : 397 - 413
[34] Bilinear pseudo-differential operators with exotic symbols, II
Akihiko Miyachi
Naohito Tomita
Journal of Pseudo-Differential Operators and Applications, 2019, 10 : 397 - 413
[35] Boundedness of pseudo-differential operators of type (0,0) on Triebel-Lizorkin and Besov spaces
Park, Bae Jun
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019, 51 (06) : 1039 - 1060
[36] Weak and strong type estimates for the multilinear pseudo-differential operators
Cao, Mingming
Xue, Qingying
Yabuta, Kozo
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (10)
[37] Hörmander type theorem for multilinear pseudo-differential operators
Heo, Yaryong
Hong, Sunggeum
Yang, Chan Woo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (01)
[38] A class of pseudo-differential operators associated with Bessel operators
Pathak, RS
Pandey, PK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) : 736 - 747
[39] Boundedness of multilinear pseudo-differential operators with S0,0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{0,0}$$\end{document} class symbols on Besov spaces
Naoto Shida
Journal of Pseudo-Differential Operators and Applications, 2024, 15 (1)
[40] ESTIMATES FOR PSEUDODIFFERENTIAL-OPERATORS OF CLASS S0,0
MIYACHI, A
MATHEMATISCHE NACHRICHTEN, 1987, 133 : 135 - 154

← 1 2 3 4 5 →