Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure

Details Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure

2008-08-24

arxiv.org/abs/0808.3247v1

Mathematics

Functional Analysis

Ostrovsky E., Rogover E

Scientific paper

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.

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