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On Bilinear Hardy Inequality and Corresponding Geometric Mean Inequality

Functional Analysis 2022-07-20 v1 Analysis of PDEs Classical Analysis and ODEs

Abstract

The main aim of this paper to provide several scales of equivalent conditions for the bilinear Hardy inequalities in the case 1<q,p1,p2<1< q, p_1, p_2<\infty with qmax(p1,p2)q \geq \max(p_1,p_2).

Keywords

Cite

@article{arxiv.2009.05546,
  title  = {On Bilinear Hardy Inequality and Corresponding Geometric Mean Inequality},
  author = {Amiran Gogatishvili and Pankaj Jain and Saikat Kanjilal},
  journal= {arXiv preprint arXiv:2009.05546},
  year   = {2022}
}