Parabolic Marcinkiewicz integrals along surfaces on product domains

被引:0
作者
Ahmad Al-Salman
机构
[1] Sultan Qaboos University,Department of Mathematics and Statistics
来源
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词
Parabolic Marcinkiewicz integral operators; parabolic maximal functions; Fourier transform; rough kernels; 42B20; 42B15; 42B25;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, parabolic Marcinkiewicz integral operators along surfaces on the product domain ℝn × ℝm (n,m ⩾ 2) are introduced. Lp bounds of such operators are obtained under weak conditions on the kernels.
引用
收藏
页码:1 / 18
页数:17
相关论文
共 50 条
[31]   On the boundedness of parabolic maximal operators on product domains [J].
Ali, Mohammed .
HELIYON, 2021, 7 (12)
[32]   Boundedness of singular integrals along surfaces on Lebesgue spaces [J].
Zhang Yan-dan ;
Chen Jie-cheng ;
Zhang Chun-jie .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (02) :192-198
[33]   Boundedness of singular integrals along surfaces on Lebesgue spaces [J].
ZHANG Yan-dan1 CHEN Jie-cheng2 ZHANG Chun-jie31 Department of Mathematics .
Applied Mathematics:A Journal of Chinese Universities, 2010, (02) :192-198
[34]   Boundedness of singular integrals along surfaces on Lebesgue spaces [J].
Yan-dan Zhang ;
Jie-cheng Chen ;
Chun-jie Zhang .
Applied Mathematics-A Journal of Chinese Universities, 2010, 25 :192-198
[35]   ON ROUGH GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS [J].
Al-Qassem, H. ;
Cheng, L. ;
Pan, Y. .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03) :763-780
[36]   A note on Marcinkiewicz integrals supported by submanifolds [J].
Liu, Feng .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[37]   On certain estimates for Marcinkiewicz integrals and extrapolation [J].
Al-Qassem, Hussain ;
Pan, Yibiao .
COLLECTANEA MATHEMATICA, 2009, 60 (02) :123-145
[38]   Parabolic Maximal Operators Along Surfaces of Revolution with Rough Kernels [J].
Amer Darweesh ;
Mohammed Ali ;
Nazzal Alnimer .
Mediterranean Journal of Mathematics, 2019, 16
[39]   Parabolic Maximal Operators Along Surfaces of Revolution with Rough Kernels [J].
Darweesh, Amer ;
Ali, Mohammed ;
Alnimer, Nazzal .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (06)