Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure

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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.
Ostrovsky E., Rogover E

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Functional Analysis, Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/167621

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.3247
 http://arxiv.org/abs/0808.3247

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arXiv