scholarly journals Integral Estimates for the Potential Operator on Differential Forms

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Casey Johnson ◽  
Shusen Ding
Keyword(s):  
Differential Forms ◽  
Potential Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

We develop the local inequalities with new weights for the potential operator applied to differential forms. We also prove the global weighted norm inequalities for the potential operator in averaging domains and explore applications of our new results.

scholarly journals Weighted norm inequalities for a general maximal operator

1988 ◽  
Vol 26 (1-2) ◽  
pp. 327-340 ◽  
Author(s):  
Francisco J. Ruiz ◽  
Jose L. Torrea
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel

1998 ◽  
Vol 50 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Yong Ding ◽  
Shanzhen Lu
Keyword(s):  
Integral Operator ◽  
Fractional Integral ◽  
Integral Operators ◽  
Rough Kernel ◽  
Degree Zero ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Fractional Integral Operators ◽  
Image Position

AbstractGiven function Ω on ℝn , we define the fractional maximal operator and the fractional integral operator by and respectively, where 0 < α < n. In this paper we study the weighted norm inequalities of MΩα and TΩα for appropriate α, s and A(p, q) weights in the case that Ω∈ Ls(Sn-1)(s> 1), homogeneous of degree zero.

scholarly journals Weighted norm inequalities for a nonlinear transform

2011 ◽  
Vol 61 (4) ◽  
pp. 832-839 ◽  
Author(s):  
Nguyen Du Vi Nhan ◽  
Dinh Thanh Duc ◽  
Vu Kim Tuan
Keyword(s):  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities
Sign in / Sign up

Export Citation Format

Share Document