Rademacher functions in weighted Cesàro spaces

Javier Carrillo-Alanís

Studia Mathematica (2013)

  • Volume: 217, Issue: 1, page 19-40
  • ISSN: 0039-3223

Abstract

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We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.

How to cite

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Javier Carrillo-Alanís. "Rademacher functions in weighted Cesàro spaces." Studia Mathematica 217.1 (2013): 19-40. <http://eudml.org/doc/285723>.

@article{JavierCarrillo2013,
abstract = {We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.},
author = {Javier Carrillo-Alanís},
journal = {Studia Mathematica},
keywords = {Cesàro function spaces; Rademacher functions; Banach function space; rearrangement invariant space},
language = {eng},
number = {1},
pages = {19-40},
title = {Rademacher functions in weighted Cesàro spaces},
url = {http://eudml.org/doc/285723},
volume = {217},
year = {2013},
}

TY - JOUR
AU - Javier Carrillo-Alanís
TI - Rademacher functions in weighted Cesàro spaces
JO - Studia Mathematica
PY - 2013
VL - 217
IS - 1
SP - 19
EP - 40
AB - We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.
LA - eng
KW - Cesàro function spaces; Rademacher functions; Banach function space; rearrangement invariant space
UR - http://eudml.org/doc/285723
ER -

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