A Scale Invariant Form of a Critical Hardy Inequality

作者:Ioku Norisuke*; Ishiwata Michinori
来源:International Mathematics Research Notices, 2015, 2015(18): 8830-8846.
DOI:10.1093/imrn/rnu212

摘要

We present a new form of the logarithmic Hardy inequality on the unit ball in RN with its optimal constant. One of the novelties of our inequality is the scale invariance under the natural scaling. We also discuss the nonexistence of a minimizer for an associated minimizing problem via a scaling argument.

  • 出版日期2015