Sharp function boundedness for vector-valued multilinear singular integral operators with non-smooth kernels

2010 ◽  
Vol 45 (4) ◽  
pp. 185-196 ◽  
Author(s):  
Lanzhe Liu
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Multilinear Singular Integral ◽  
Sharp Function ◽  
Smooth Kernels ◽  
Vector Valued

scholarly journals Weighted Vector-Valued Inequalities for a Class of Multilinear Singular Integral Operators

2018 ◽  
Vol 61 (2) ◽  
pp. 413-436 ◽  
Author(s):  
Guoen Hu ◽  
Kangwei Li
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Maximal Operators ◽  
Weighted Estimates ◽  
Multilinear Singular Integral ◽  
Multiple Weights ◽  
Vector Valued

AbstractIn this paper, some weighted vector-valued inequalities with multiple weights $A_{\vec P}$ (ℝmn)are established for a class of multilinear singular integral operators. The weighted estimates for the multi(sub)linear maximal operators which control the multilinear singular integral operators are also considered.

Weighted boundedness of multilinear singular integral operators with non-smooth kernels for the extreme cases

2020 ◽  
Vol 27 (2) ◽  
pp. 271-284
Author(s):  
Weiping Kuang
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Multilinear Operators ◽  
Multilinear Singular Integral ◽  
Smooth Kernels

AbstractThe weighted boundedness properties of multilinear operators associated to singular integral operators with non-smooth kernels for extreme cases are obtained.

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