On local Khintchine inequalities for spaces of exponential integrability
Author:
Javier Carrillo-Alanís
Journal:
Proc. Amer. Math. Soc. 139 (2011), 2753-2757
MSC (2010):
Primary 46E30, 42C10
DOI:
https://doi.org/10.1090/S0002-9939-2011-10890-6
Published electronically:
February 1, 2011
MathSciNet review:
2801616
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We prove a local version of the Khintchine inequality for the spaces ![$ {\mathrm{Exp} } L^p([0,1])$](/proc/2011-139-08/S0002-9939-2011-10890-6/gif-abstract0/img1.gif){kind=small}
of functions having 
-th exponential integrability, for 
. The result also holds for the lacunary Walsh series.
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Additional Information
Javier Carrillo-Alanís
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, Sevilla, 41080, Spain
Email:
fcarrillo@us.es
DOI:
https://doi.org/10.1090/S0002-9939-2011-10890-6
Keywords:
Rademacher functions,
rearrangement invariant spaces
Received by editor(s):
July 13, 2010
Published electronically:
February 1, 2011
Additional Notes:
Partially supported by D.G.I. #MTM2009-12740-C03-02
Communicated by:
Thomas Schlumprecht
Article copyright:
© Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
