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 the bilinear maximal operator on variable Lebesgue spaces

2020 ◽  
Vol 64 ◽  
pp. 453-498
Author(s):  
David Cruz-Uribe, OFS ◽  
Oscar M. Guzmán
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Variable Lebesgue Spaces

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 Weighted norm inequalities for the maximal operator on variable Lebesgue spaces

2012 ◽  
Vol 394 (2) ◽  
pp. 744-760 ◽  
Author(s):  
D. Cruz-Uribe, SFO ◽  
A. Fiorenza ◽  
C.J. Neugebauer
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Variable Lebesgue Spaces

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 maximal operator of Fourier series

2022 ◽  
Vol 7 (1) ◽  
Author(s):  
Md. Nurul Molla ◽  
Biswaranjan Behera
Keyword(s):  
Fourier Series ◽  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

Characterization of a Two-Weighted Vector-Valued Inequality for Fractional Maximal Operators

1998 ◽  
Vol 5 (6) ◽  
pp. 583-600
Author(s):  
Y. Rakotondratsimba
Keyword(s):  
Maximal Operator ◽  
Maximal Operators ◽  
Lebesgue Spaces ◽  
Fractional Maximal Operator ◽  
Weighted Lebesgue Spaces ◽  
Vector Valued

Abstract We give a characterization of the weights 𝑢(·) and 𝑣(·) for which the fractional maximal operator 𝑀𝑠 is bounded from the weighted Lebesgue spaces 𝐿𝑝(𝑙𝑟, 𝑣𝑑𝑥) into 𝐿𝑞(𝑙𝑟, 𝑢𝑑𝑥) whenever 0 ≤ 𝑠 < 𝑛, 1 < 𝑝, 𝑟 < ∞, and 1 ≤ 𝑞 < ∞.

scholarly journals Weighted norm inequalities for multisublinear maximal operator in martingale spaces

2014 ◽  
Vol 66 (4) ◽  
pp. 539-553 ◽  
Author(s):  
Wei Chen ◽  
Peide Liu
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities
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