Rough singular integrals and maximal operators with radial-angular integrability

2021 ◽  
pp. 1 ◽  
Author(s):  
Ronghui Liu ◽  
Huoxiong Wu
Keyword(s):  
Singular Integrals ◽  
Maximal Operators

scholarly journals A note on maximal singular integrals with rough kernels

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiao Zhang ◽  
Feng Liu
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Integral Operators ◽  
Maximal Operators ◽  
Rough Kernels ◽  
Lebesgue Spaces ◽  
Homogeneous Mapping ◽  
Recent Developments ◽  
Maximal Singular Integrals ◽  
Maximal Singular Integral

Abstract In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators. The boundedness and continuity on the Lebesgue spaces, Triebel–Lizorkin spaces, and Besov spaces are established for the above operators with rough kernels in $H^{1}({\mathrm{S}}^{n-1})$ H 1 ( S n − 1 ) , which complement some recent developments related to rough maximal singular integrals.

Maximal operators and singular integrals with non-isotropic dilation on product domains

2010 ◽  
Vol 26 (10) ◽  
pp. 1847-1864 ◽  
Author(s):  
Zhong Kai Li ◽  
Bo Lin Ma ◽  
Huo Xiong Wu
Keyword(s):  
Singular Integrals ◽  
Maximal Operators ◽  
Product Domains

scholarly journals Multiparameter singular integrals and maximal operators along flat surfaces

2008 ◽  
pp. 1047-1073
Author(s):  
Yong-Kum Cho ◽  
Sunggeum Hong ◽  
Joonil Kim ◽  
Chan Woo Yang
Keyword(s):  
Singular Integrals ◽  
Maximal Operators ◽  
Flat Surfaces

Mixed radial-angular integrability for rough singular integrals and maximal operators

2020 ◽  
Vol 148 (9) ◽  
pp. 3943-3956
Author(s):  
Ronghui Liu ◽  
Feng Liu ◽  
Huoxiong Wu
Keyword(s):  
Singular Integrals ◽  
Maximal Operators

Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces

2019 ◽  
Vol 11 (1) ◽  
pp. 201-228
Author(s):  
Nguyen Minh Chuong ◽  
Dao Van Duong ◽  
Kieu Huu Dung
Keyword(s):  
Singular Integrals ◽  
Morrey Spaces ◽  
Maximal Operators

The ρ-variation as an operator between maximal operators and singular integrals

2009 ◽  
Vol 9 (1) ◽  
pp. 81-102 ◽  
Author(s):  
R. Crescimbeni ◽  
R. A. Macías ◽  
T. Menárguez ◽  
J. L. Torrea ◽  
B. Viviani
Keyword(s):  
Singular Integrals ◽  
Maximal Operators
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