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 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.

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
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