ROUGH SINGULAR INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON TRIEBEL-LIZORKIN SPACES

被引：15

作者：

Liu, Feng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 05期

关键词：

Singular integrals; rough kernels; surfaces of revolution; Triebel-Lizorkin spaces; Besov spaces; L-P BOUNDS; OPERATORS; KERNELS;

D O I：

10.1216/RMJ-2017-47-5-1617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the boundedness of rough singular integrals associated to surfaces of revolution generated by two polynomial mappings on the Triebel-Lizorkin spaces and Besov spaces.

引用

页码：1617 / 1653

页数：37

共 50 条

[1] Boundedness of singular integrals associated to surfaces of revolution on Triebel-Lizorkin spaces
Li, Wenjuan
Si, Zengyan
Yabuta, Kozo
FORUM MATHEMATICUM, 2016, 28 (01) : 57 - 75
[2] Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution
Ding Yong
Yabuta, Kozo
SCIENCE CHINA-MATHEMATICS, 2016, 59 (09) : 1721 - 1736
[3] Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution
DING Yong
YABUTA Kz
ScienceChina(Mathematics), 2016, 59 (09) : 1721 - 1736
[4] Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution
Yong Ding
Kôzô Yabuta
Science China Mathematics, 2016, 59 : 1721 - 1736
[5] Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces
Yabuta, Kozo
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[6] Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces
Kôzô Yabuta
Journal of Inequalities and Applications, 2015
[7] A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces
Liu, Feng
Wu, Huoxiong
Zhang, Daiqing
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces
Feng Liu
Huoxiong Wu
Daiqing Zhang
Journal of Inequalities and Applications, 2013
[9] On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces
Hussain Al-Qassem
Leslie Cheng
Yi Biao Pan
Acta Mathematica Sinica, English Series, 2011, 27 : 1881 - 1898
[10] On the Boundedness of Rough Oscillatory Singular Integrals on Triebel-Lizorkin Spaces
Al-Qassem, Hussain
Cheng, Leslie
Pan, Yi Biao
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (10) : 1881 - 1898

← 1 2 3 4 5 →