An optimal Hardy-Morrey inequality
arXiv:1302.4432 · doi:10.1007/s00526-011-0464-1
Abstract
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 obtain a refinement of both the Sobolev inequality for and the Hardy inequality, the latter having the best constant.
24 pages