Oscillatory singular integral operators with Holder class kernels on Hardy spaces

被引：1

作者：

Pan, Yibiao ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

FORUM MATHEMATICUM | 2019年 / 31卷 / 02期

关键词：

Oscillatory integrals; singular integrals; Hardy spaces; L-P-spaces; Holder classes;

D O I：

10.1515/forum-2018-0249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sharp logarithmic bound is established for the H-1-norm of oscillatory singular integrals with quadratic phases and Holder class kernels. Prior results had relied on a C-1-assumption on the kernel.

引用

页码：535 / 542

页数：8

共 50 条

[1] Oscillatory Singular Integral Operators with Holder Class Kernels
Al-Qassem, Hussain
Cheng, Leslie
Pan, Yibiao
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2019, 25 (04) : 2141 - 2149
[2] Lp and H1 Boundedness of Oscillatory Singular Integral Operators with Holder Class Kernels
Pan, Yibiao
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021, 93 (04)
[3] Oscillatory Singular Integral Operators with Hölder Class Kernels
Hussain Al-Qassem
Leslie Cheng
Yibiao Pan
[J]. Journal of Fourier Analysis and Applications, 2019, 25 : 2141 - 2149
[4] A Class of Oscillatory Singular Integrals with Hardy Kernels on Triebel-Lizorkin Spaces and Besov Spaces
Yao Ming NIU Shuang Ping TAO Faculty of MathematicsBaotou teachers collegeInner Mongolia PRChinaCollege of Mathematics and Information ScienceNorthwest Normal UniversityGansu PRChina
[J]. 数学研究与评论., 2011, 31 (03) - 520
[5] A Class of Oscillatory Singular Integrals with Hardy Kernels on Triebel-Lizorkin Spaces and Besov Spaces
Yao Ming NIU 1
2.College of Mathematics and Information Science
[J]. Journal of Mathematical Research with Applications, 2011, (03) : 509 - 520
[6] A class of multiparameter oscillatory singular integral operators: endpoint Hardy space bounds
Bakas, Odysseas
Latorre, Eric
Rincon, Diana C. M.
Wright, James
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (02) : 611 - 639
[7] Endpoint Estimates for Oscillatory Singular Integrals with Holder Class Kernels
Al-Qassem, Hussain
Cheng, Leslie
Pan, Yibiao
[J]. JOURNAL OF FUNCTION SPACES, 2019, 2019
[8] Commutators of integral operators with variable kernels on Hardy spaces
Zhang, P
Zhao, K
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2005, 115 (04): : 399 - 410
[9] Integral operators with variable kernels on weak Hardy spaces
Ding, Y
Lu, SZ
Shao, SL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 127 - 135
[10] Commutators of integral operators with variable kernels on Hardy spaces
Pu Zhang
Kai Zhao
[J]. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2005, 115 : 399 - 410

← 1 2 3 4 5 →