A Characterization of Some Weighted Norm Inequalities for Maximal Operators

2010 ◽  
pp. 401-412 ◽  
Author(s):  
Tengiz Kopaliani
Keyword(s):  
Maximal Operators ◽  
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.

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