Weighted estimates for multilinear commutators of singular integral operators associated with the sections

2008 ◽  
Vol 24 (2) ◽  
pp. 110-119
Author(s):  
Jianguo Sun ◽  
Shuangping Tao
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Estimates ◽  
Multilinear Commutators

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 estimates for strongly singular integral operators with rough kernels

2010 ◽  
Vol 31 (6) ◽  
pp. 761-768
Author(s):  
Wen-li Huang ◽  
Xiang-xing Tao ◽  
Sheng-hong Li
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Rough Kernels ◽  
Weighted Estimates

scholarly journals Some weighted estimates for imaginary powers of Laplace operators

2002 ◽  
Vol 65 (1) ◽  
pp. 129-135 ◽  
Author(s):  
Hendra Gunawan
Keyword(s):  
Laplace Operator ◽  
Singular Integral ◽  
Hardy Spaces ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Lebesgue Spaces ◽  
Weighted Hardy Spaces ◽  
Weighted Estimates ◽  
Imaginary Powers ◽  
The Laplace Operator

We study the boundedness of singular integral operators that are imaginary powers of the Laplace operator in Rn, especially from weighted Hardy spaces to weighted Lebesgue spaces where 0 < p ≤ 1. In particular, we prove some estimates for these operators when 0 < p ≤ 1 and w is in the Muckenhoupt's class Aq, for some q > 1.

scholarly journals Weighted norm inequalities for multilinear singular integral operators and applications

2014 ◽  
Vol 12 (03) ◽  
pp. 269-291 ◽  
Author(s):  
Guoen Hu ◽  
Chin-Cheng Lin
Keyword(s):  
Singular Integral ◽  
Fourier Multiplier ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Estimate ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Weighted Estimates ◽  
Multilinear Singular Integral

In this paper, weighted norm inequalities with Ap weights are established for the multilinear singular integral operators whose kernels satisfy certain Lr′-Hörmander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.

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