24 citations · 57 across the 10 of their papers we have counts for
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math.AP2013★ 6 cited
An optimal Hardy-Morrey inequality
Georgios Psaradakis
In this work we improve the sharp Hardy inequality in the case by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also o…
math.AP2013★ 24 cited
Hardy inequalities with weights
Georgios Psaradakis
We prove sharp homogeneous improvements to weighted Hardy inequalities involving distance from the boundary. In the case of a smooth domain, we obtain lower and upper estimat…
math.AP2013★ 6 cited
Hardy Inequalities in General Domains
Georgios Psaradakis
Key Words: Hardy inequalities, Sobolev inequalities, Morrey inequality, distance function, mean curvature, best constants, semi-concavity, sets with positive reach, mean convex set…