Poincare type inequalities for two different Bilateral Grand Lebesgue Spaces
Functional Analysis
2015-01-05 v1
Abstract
In this paper we obtain the non-asymptotic inequalities of Poincare type between function and its weak gradient belonging the so-called Bilateral Grand Lebesgue Spaces over general metric measurable space. We also prove the sharpness of these inequalities.
Keywords
Cite
@article{arxiv.1501.00355,
title = {Poincare type inequalities for two different Bilateral Grand Lebesgue Spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1501.00355},
year = {2015}
}