Abstract
We consider a general class of sharp L p Hardy inequalities in IR N involving distance from a surface of general codimension 1 ≤ k ≤ 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. AMS Subject Classification: 35J20 26D10 (46E35 35P)
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