Weighted norm inequalities for Hardy type operators on monotone functions

2015 ◽  
pp. 145-160 ◽  
Author(s):  
Pankaj Jain ◽  
Monika Singh ◽  
Arun Singh
Keyword(s):  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Monotone Functions ◽  
Norm Inequalities ◽  
Hardy Type ◽  
Hardy Type Operators

scholarly journals Weighted norm inequalities and indices

2006 ◽  
Vol 4 (1) ◽  
pp. 43-71 ◽  
Author(s):  
Joaquim Martín ◽  
Mario Milman
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Rearrangement Invariant Spaces ◽  
Hardy Type ◽  
Necessary And Sufficient ◽  
Invariant Spaces ◽  
Hardy Type Operators

We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on?p(w),?p,8(w),Gp(w)andGp,8(w).

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
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