Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure
Functional Analysis
2008-08-26 v1 Probability
Abstract
In this paper non-asymptotic exact rearrangement invariant norm estimates are derived for the maximum distribution of the family elements of some rearrangement invariant (r.i.) space over unbounded measure in the entropy terms and in the terms of generic chaining. We consider some applications in the martingale theory and in the theory of Fourier series.
Keywords
Cite
@article{arxiv.0808.3247,
title = {Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure},
author = {E. Ostrovsky and E. Rogover},
journal= {arXiv preprint arXiv:0808.3247},
year = {2008}
}
Comments
Ostrovsky E., Rogover E