Bilinear rough singular integral operators on Morrey spaces

被引：0

作者：

Daniel Salim

Yoshihiro Sawano

Pebrudal Zanu

机构：

[1] Bandung Institute of Technology,Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences

[2] Tokyo Metropolitan University,Department of Mathematics and Information Science

[3] Peoples’ Friendship University of Russia,Department of Mathematics Analysis and the Theory of functions

来源：

The Journal of Analysis | 2020年 / 28卷

关键词：

Singular integral operators; Bilinear operators; Rough operators; Morrey spaces; 42B20; 42B99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Recently Grafakos et al., have proved that the bilinear rough singular integral operators are bounded on Lebesgue spaces. Here we aim to show that these operators extend to bounded linear operators on Morrey spaces as well. Although the proof hinges on the boundedness due to Grafakos et al., the proof seems to give a general technique to prove or extend the boundedness of the operators.

引用

页码：817 / 825

页数：8

共 9 条

[1] Ding Y(2015)Boundedness and compactness for the commutators of bilinear operators on Morrey spaces Potential Analysis 42 717-748
[2] Mei T(2018)Rough bilinear singular integrals Advances in Mathematics 326 54-78
[3] Grafakos L(2016)The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality Revista Matematica Complutense 29 623-657
[4] He D(2014)Hybrid function spaces, heat and Navier-Stokes equations. EMS tracts in mathematics European Mathematical Society (EMS) 24 121-592
[5] Honzík P(1986)Morrey space Proceedings of the American Mathematical Society 98 586-undefined
[6] Rosenthal M(undefined)undefined undefined undefined undefined-undefined
[7] Schmeisser H-J(undefined)undefined undefined undefined undefined-undefined
[8] Triebel H(undefined)undefined undefined undefined undefined-undefined
[9] Zorko CT(undefined)undefined undefined undefined undefined-undefined

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