Weighted norm inequalities for convolution operators and links with the Weiss Conjecture

2005 ◽  
Vol 5 (3) ◽  
pp. 387-405 ◽  
Author(s):  
Zen Harper
Keyword(s):  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Convolution Operators ◽  
Norm Inequalities

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
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