Hardy's inequality and Hausdorff operators on rearrangement-invariant Morrey spaces

2016 ◽  
Vol 88 (1-2) ◽  
pp. 201-215 ◽  
Author(s):  
KWOK-PUN HO
Keyword(s):  
Morrey Spaces ◽  
Hardy’S Inequality ◽  
Hardy's Inequality ◽  
Hausdorff Operators

Hardy’s inequality on Hardy–Morrey spaces

2019 ◽  
Vol 26 (3) ◽  
pp. 405-413 ◽  
Author(s):  
Kwok-Pun Ho
Keyword(s):  
Hardy Inequality ◽  
Morrey Spaces ◽  
Hardy’S Inequality ◽  
Hardy's Inequality ◽  
The Hardy Inequality

Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.

scholarly journals Hardy's inequality in the scope of Dirichlet forms

2012 ◽  
Vol 24 (4) ◽  
Author(s):  
Nedra Belhadjrhouma ◽  
Ali Ben Amor
Keyword(s):  
Dirichlet Forms ◽  
Hardy’S Inequality ◽  
Hardy's Inequality

Series expansion of Leray–Trudinger inequality

2021 ◽  
pp. 1-13
Author(s):  
Xiaomei Sun ◽  
Kaixiang Yu ◽  
Anqiang Zhu
Keyword(s):  
Series Expansion ◽  
Infinite Series ◽  
Hardy Inequality ◽  
Hardy’S Inequality ◽  
Optimal Form ◽  
Hardy's Inequality ◽  
Early Results ◽  
Trudinger Inequality

In this paper, we establish an infinite series expansion of Leray–Trudinger inequality, which is closely related with Hardy inequality and Moser Trudinger inequality. Our result extends early results obtained by Mallick and Tintarev [A. Mallick and C. Tintarev. An improved Leray-Trudinger inequality. Commun. Contemp. Math. 20 (2018), 17501034. OP 21] to the case with many logs. It should be pointed out that our result is about series expansion of Hardy inequality under the case $p=n$ , which case is not considered by Gkikas and Psaradakis in [K. T. Gkikas and G. Psaradakis. Optimal non-homogeneous improvements for the series expansion of Hardy's inequality. Commun. Contemp. Math. doi:10.1142/S0219199721500310]. However, we can't obtain the optimal form by our method.

The Analysis and Geometry of Hardy's Inequality

2015 ◽  
Author(s):  
Alexander A. Balinsky ◽  
W. Desmond Evans ◽  
Roger T. Lewis
Keyword(s):  
Hardy’S Inequality ◽  
Hardy's Inequality
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