2015/01/02 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Mathematics · #Geometric Analysis and Curvature Flows #Advanced Harmonic Analysis Research #Analytic and geometric function theory
paper · pdf · doi:10.48550/arxiv.1501.00355
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.