Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces

2009 ◽  
Vol 61 (10) ◽  
pp. 1684-1693 ◽  
Author(s):  
Jianglong Wu
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Herz Spaces ◽  
Multilinear Singular Integral

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.

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.

scholarly journals Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Amjad Hussain ◽  
Guilian Gao
Keyword(s):  
Singular Integral ◽  
Variable Exponent ◽  
Singular Integrals ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Herz Space ◽  
Herz Spaces ◽  
Multilinear Singular Integrals

The paper establishes some sufficient conditions for the boundedness of singular integral operators and their commutators from products of variable exponent Herz spaces to variable exponent Herz spaces.

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