Bilinear pseudo-differential operators on local hardy spaces

被引：7

作者：

Xiao, Jiang Wei ^{[1
]}

Jiang, Yin Sheng ^{[1
]}

Gao, Wen Hua ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Beijing Normal Univ Zhuhai, Sch Appied Math, Zhuhai 519085, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Bilinear pseudo-differential operators; local Hardy spaces; singular integrals;

D O I：

10.1007/s10114-012-0283-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors consider a class of bilinear pseudo-differential operators with symbols of order 0 and type (1, 0) in the sense of Hormander and use the atomic decompositions of local Hardy spaces to establish the boundedness of the bilinear pseudo-differential operators and the bilinear singular integral operators on the product of local Hardy spaces.

引用

页码：255 / 266

页数：12

共 50 条

[1] Bilinear Pseudo-differential Operators on Local Hardy Spaces
Jiang Wei XIAO
Yin Sheng JIANG
Wen Hua GAO
[J]. Acta Mathematica Sinica,English Series, 2012, (02) : 255 - 266
[2] Bilinear Pseudo-differential Operators on Local Hardy Spaces
Jiang Wei XIAO
Yin Sheng JIANG
Wen Hua GAO
[J]. Acta Mathematica Sinica., 2012, 28 (02) - 266
[3] Bilinear pseudo-differential operators on local hardy spaces
Jiang Wei Xiao
Yin Sheng Jiang
Wen Hua Gao
[J]. Acta Mathematica Sinica, English Series, 2012, 28 : 255 - 266
[4] Commutators of Bilinear Pseudo-differential Operators on Local Hardy Spaces with Variable Exponents
Lu, Guanghui
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (04): : 975 - 1000
[5] Commutators of Bilinear Pseudo-differential Operators on Local Hardy Spaces with Variable Exponents
Guanghui Lu
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 975 - 1000
[6] Commutators of pseudo-differential operators on local Hardy spaces
Komori-Furuya, Y.
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2011, 77 (3-4): : 489 - 501
[7] Commutators of pseudo-differential operators on local Hardy spaces
Yasuo Komori-Furuya
[J]. Acta Scientiarum Mathematicarum, 2011, 77 (3-4): : 489 - 501
[8] The continuity of pseudo-differential operators on weighted local Hardy spaces
Lee, Ming-Yi
Lin, Chin-Cheng
Lin, Ying-Chieh
[J]. STUDIA MATHEMATICA, 2010, 198 (01) : 69 - 77
[9] THE CONTINUITY OF PSEUDO-DIFFERENTIAL OPERATORS ON LOCAL VARIABLE HARDY SPACES AND THEIR DUAL SPACES
Tan, Jian
Wang, Hongbin
Liao, Fanghui
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2023, 26 (04): : 1055 - 1069
[10] Bilinear pseudo-differential operators on product of weighted spaces
Lu, Guanghui
Zhou, Jiang
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1647 - 1664

← 1 2 3 4 5 →