English

Weighted inequalities and Stein-Weiss potentials

Analysis of PDEs 2007-05-23 v2

Abstract

Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities.

Keywords

Cite

@article{arxiv.math/0607309,
  title  = {Weighted inequalities and Stein-Weiss potentials},
  author = {William Beckner},
  journal= {arXiv preprint arXiv:math/0607309},
  year   = {2007}
}

Comments

version 2, corrected misprint (4 January 2007); AMSLaTeX, 13 pages