SHARP FUNCTION ESTIMATES AND WEIGHTED NORM INEQUALITIES FOR MULTILINEAR SINGULAR INTEGRAL OPERATORS

2003 ◽  
Vol 35 (06) ◽  
pp. 759-769 ◽  
Author(s):  
GUOEN HU ◽  
DACHUN YANG
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Multilinear Singular Integral ◽  
Sharp Function

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.

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
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