On local Khintchine inequalities for spaces of exponential integrability

Carrillo-Alanís, Javier

doi:10.1090/S0002-9939-2011-10890-6

On local Khintchine inequalities for spaces of exponential integrability
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by Javier Carrillo-Alanís PDF

Proc. Amer. Math. Soc. 139 (2011), 2753-2757 Request permission

Abstract:

We prove a local version of the Khintchine inequality for the spaces ${\mathrm {Exp} } L^p([0,1])$ of functions having $p$-th exponential integrability, for $1 \leq p \leq 2$. The result also holds for the lacunary Walsh series.

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