scholarly journals Weighted norm inequalities for the maximal singular integral operators on spaces of homogeneous type

2007 ◽  
Vol 336 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Guoen Hu ◽  
Xianliang Shi ◽  
Qihui Zhang
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Norm ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Maximal Singular Integral

scholarly journals Weighted Norm Inequalities for Rough Singular Integral Operators

2018 ◽  
Vol 29 (3) ◽  
pp. 2526-2564 ◽  
Author(s):  
Kangwei Li ◽  
Carlos Pérez ◽  
Israel P. Rivera-Ríos ◽  
Luz Roncal
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

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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