Series expansion for L^p Hardy inequalities

Barbatis, G.; Filippas, S.; Tertikas, A.

Series expansion for L^p Hardy inequalities

Authors

Barbatis, G.

Filippas, S.

Tertikas, A.

Description

We consider a general class of sharp $L^p$ Hardy inequalities in $\R^N$ involving distance from a surface of general codimension $1\leq k\leq N$. We show that we can succesively improve them by adding to the right hand side a lower order term with optimal weight and best constant. This leads to an infinite series improvement of $L^p$ Hardy inequalities.
16 pages, to appear in the Indiana Univ. Math. J