Weighted Norm Estimates for Singular Integrals with LlogL Kernels: Regularity of Weak Solutions of Some Degenerate Quasilinear Equations

2014 ◽  
pp. 233-246
Author(s):  
Richard L. Wheeden
Keyword(s):  
Weak Solutions ◽  
Singular Integrals ◽  
Weighted Norm ◽  
Quasilinear Equations ◽  
Norm Estimates ◽  
Regularity Of Weak Solutions

A criterion on oscillation and variation for the commutators of singular integral operators

2015 ◽  
Vol 27 (1) ◽  
Author(s):  
Feng Liu ◽  
Huoxiong Wu
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Weighted Norm ◽  
Norm Estimates ◽  
Variation Operators

AbstractThis paper gives a criterion on the weighted norm estimates of the oscillatory and variation operators for the commutators of Calderón–Zygmund singular integrals in dimension 1. As applications, the weighted

Regularity of Weak Solutions to a Class of Nonlinear Problem

2021 ◽  
Vol 41 (4) ◽  
pp. 1333-1365
Author(s):  
Jianfeng Zhou ◽  
Zhong Tan
Keyword(s):  
Nonlinear Problem ◽  
Weak Solutions ◽  
Regularity Of Weak Solutions
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