scholarly journals Weighted norm inequalities for fractional maximal operators - a Bellman function approach

2015 ◽  
Vol 64 (3) ◽  
pp. 957-972
Author(s):  
Rodrigo Banuelos ◽  
Adam Osekowski
Keyword(s):  
Function Approach ◽  
Maximal Operators ◽  
Bellman Function ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators

2020 ◽  
Vol 27 (4) ◽  
pp. 637-647
Author(s):  
Jian Tan
Keyword(s):  
Maximal Operators ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Variable Lebesgue Spaces ◽  
Vector Valued ◽  
Mixed Variable

AbstractWe establish off-diagonal extrapolation on mixed variable Lebesgue spaces. As its applications, we obtain the boundedness for strong fractional maximal operators. The vector-valued analogies are also considered. Additionally, the Littlewood–Paley characterization for mixed variable Lebesgue spaces is also established with the help of weighted norm inequalities and extrapolation.

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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