Series expansion for L^p Hardy inequalities

G. Barbatis; S. Filippas; A. Tertikas

Series expansion for L^p Hardy inequalities

Analysis of PDEs 2007-05-23 v1 Spectral Theory

Authors: G. Barbatis , S. Filippas , A. Tertikas

Abstract

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.

Keywords

hardy inequalities lp spaces and inequalities inequalities

Cite

@article{arxiv.math/0302327,
  title  = {Series expansion for L^p Hardy inequalities},
  author = {G. Barbatis and S. Filippas and A. Tertikas},
  journal= {arXiv preprint arXiv:math/0302327},
  year   = {2007}
}

Comments

16 pages, to appear in the Indiana Univ. Math. J

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