scholarly journals Extrapolation and weighted norm inequalities in the variable Lebesgue spaces

2016 ◽  
Vol 369 (2) ◽  
pp. 1205-1235 ◽  
Author(s):  
David Cruz-Uribe, ◽  
Li-An Daniel Wang
Keyword(s):  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Variable Lebesgue Spaces

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.

Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

2010 ◽  
Vol 53 (2) ◽  
pp. 263-277 ◽  
Author(s):  
Justin Feuto ◽  
Ibrahim Fofana ◽  
Konin Koua
Keyword(s):  
Maximal Operator ◽  
Fractional Integral ◽  
Space Of Homogeneous Type ◽  
Weighted Norm ◽  
Fractional Operator ◽  
Homogeneous Type ◽  
Weighted Norm Inequalities ◽  
Orlicz Norm ◽  
Lebesgue Spaces ◽  
Norm Inequalities

AbstractWe give weighted norm inequalities for the maximal fractional operator ℳq,β of Hardy– Littlewood and the fractional integral Iγ. These inequalities are established between (Lq, Lp)α(X, d, μ) spaces (which are superspaces of Lebesgue spaces Lα(X, d, μ) and subspaces of amalgams (Lq, Lp)(X, d, μ)) and in the setting of space of homogeneous type (X, d, μ). The conditions on the weights are stated in terms of Orlicz norm.

scholarly journals STRONG AND WEAK WEIGHTED NORM INEQUALITIES FOR THE GEOMETRIC FRACTIONAL MAXIMAL OPERATOR

2012 ◽  
Vol 86 (2) ◽  
pp. 205-215
Author(s):  
SORINA BARZA ◽  
CONSTANTIN P. NICULESCU
Keyword(s):  
Maximal Operator ◽  
Weak Type ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Fractional Maximal Operator ◽  
Weighted Lebesgue Spaces

AbstractWe characterise the strong- and weak-type boundedness of the geometric fractional maximal operator between weighted Lebesgue spaces in the case 0<p≤q<∞, generalising and improving some older 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
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