Weighted Inequalities of Hardy Type

10.1142/10052 ◽  
2017 ◽  
Author(s):  
Alois Kufner ◽  
Lars-Erik Persson ◽  
Natasha Samko
Keyword(s):  
Weighted Inequalities ◽  
Hardy Type

Weighted Inequalities of Hardy Type

10.1142/5129 ◽  
2003 ◽  
Author(s):  
Alois Kufner ◽  
Lars-Erik Persson
Keyword(s):  
Weighted Inequalities ◽  
Hardy Type

One-dimensional Hardy-type inequalities in many dimensions

1998 ◽  
Vol 128 (4) ◽  
pp. 833-848 ◽  
Author(s):  
Gord Sinnamon
Keyword(s):  
Integral Operators ◽  
Weighted Norm ◽  
Weighted Inequalities ◽  
Weighted Norm Inequalities ◽  
Averaging Operators ◽  
One Dimensional ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Higher Dimensional ◽  
The One

Weighted inequalities for certain Hardy-type averaging operators in are shown to be equivalent to weighted inequalities for one-dimensional operators. Known results for the one-dimensional operators are applied to give weight characterisations, with best constants in some cases, in the higher-dimensional setting. Operators considered include averages over all dilations of very general starshaped regions as well as averages over all balls touching the origin. As a consequence, simple weight conditions are given which imply weighted norm inequalities for a class of integral operators with monotone kernels.

scholarly journals Weighted inequalities of Hardy type for matrix operators: the case q

2007 ◽  
pp. 843-861
Author(s):  
Ryskul Oinarov ◽  
Christopher A. Okpoti ◽  
Lars-Erik Persson
Keyword(s):  
Weighted Inequalities ◽  
Hardy Type ◽  
Matrix Operators

Weighted Inequalities of Hardy-Type on Amalgams

2009 ◽  
Vol 34 (2) ◽  
pp. 483
Author(s):  
Pankaj Jain ◽  
Suket Kumar
Keyword(s):  
Weighted Inequalities ◽  
Hardy Type

Weighted inequalities of Hardy type

1989 ◽  
Vol 30 (1) ◽  
pp. 8-16 ◽  
Author(s):  
E. N. Batuev ◽  
V. D. Stepanov
Keyword(s):  
Weighted Inequalities ◽  
Hardy Type

scholarly journals On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. H. Saker ◽  
S. S. Rabie ◽  
R. P. Agarwal
Keyword(s):  
The Self ◽  
Weighted Inequalities ◽  
Propagation Property ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Backward Propagation

AbstractIn this paper, first we prove some new refinements of discrete weighted inequalities with negative powers on finite intervals. Next, by employing these inequalities, we prove that the self-improving property (backward propagation property) of the weighted discrete Muckenhoupt classes holds. The main results give exact values of the limit exponents as well as the new constants of the new classes. As an application, we establish the self-improving property (forward propagation property) of the discrete Gehring class.

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