Wirtinger-type inequalities for some rearrangement invariant spaces
Functional Analysis
2010-02-01 v1 Classical Analysis and ODEs
Abstract
In this short paper we generalize the classical inequality between the norms in Lebesgue spaces of the functions and its derivatives, which in the multidimensional case are called Sobolev's inequalities, on the many popular classes pairs of rearrangement invariant (r.i.) spaces, namely, on the so-called moment rearrangement invariant spaces.
Keywords
Cite
@article{arxiv.1001.5279,
title = {Wirtinger-type inequalities for some rearrangement invariant spaces},
author = {E. Ostrovsky and E. Rogover and L. Sirota},
journal= {arXiv preprint arXiv:1001.5279},
year = {2010}
}