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.

Boundedness for Multilinear Singular Integral Operators on Some Hardy and Herz Type Spaces

2005 ◽  
Vol 12 (2) ◽  
pp. 309-320
Author(s):  
Lanzhe Liu
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Lipschitz Functions ◽  
Multilinear Operators ◽  
Multilinear Singular Integral ◽  
Type Spaces

Abstract In this paper, we prove the boundedness for some multilinear operators generated by singular integral operators and Lipschitz functions on some Hardy and Herz type spaces.

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