Poincar\'e Inequalities in Bilateral Grand Lebesgue Spaces
Functional Analysis
2009-08-06 v1
Abstract
In this paper we obtain the non - asymptotic estimations of Poincare type between function and its gradient in the so - called Bilateral Grand Lebesgue Spaces. We also give some examples to show the sharpness of these inequalities.
Keywords
Cite
@article{arxiv.0908.0546,
title = {Poincar\'e Inequalities in Bilateral Grand Lebesgue Spaces},
author = {E. Ostrovsky and L. Sirota and E. Rogover},
journal= {arXiv preprint arXiv:0908.0546},
year = {2009}
}