Published Paper
Inserted: 20 feb 2017
Last Updated: 20 feb 2017
Journal: J. Geom. Anal.
Year: 2013
Abstract:
We prove sharp homogeneous improvements to $L^1$ weighted Hardy inequalities involving distance from the boundary. In the case of a smooth domain, we obtain lower and upper estimates for the best constant of the remainder term. These estimates are sharp in the sense that they coincide when the domain is a ball or an infinite strip. In the case of a ball, we also obtain further improvements.
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