On the embedding of 2-concave Orlicz spaces into L¹

Schütt, Carsten. "On the embedding of 2-concave Orlicz spaces into L¹." Studia Mathematica 113.1 (1995): 73-80. <http://eudml.org/doc/216161>.

@article{Schütt1995,
abstract = {In [K-S 1] it was shown that $Ave_π(∑_\{i=1\}^\{n\} |x_i a_\{π(i)\}|^2)^\{1/2\}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_1,...,a_n$ so that the above expression is equivalent to a given Orlicz norm.},
author = {Schütt, Carsten},
journal = {Studia Mathematica},
keywords = {embedding of 2-concave Orlicz spaces into ; Orlicz norm; Orlicz function},
language = {eng},
number = {1},
pages = {73-80},
title = {On the embedding of 2-concave Orlicz spaces into L¹},
url = {http://eudml.org/doc/216161},
volume = {113},
year = {1995},
}

TY - JOUR
AU - Schütt, Carsten
TI - On the embedding of 2-concave Orlicz spaces into L¹
JO - Studia Mathematica
PY - 1995
VL - 113
IS - 1
SP - 73
EP - 80
AB - In [K-S 1] it was shown that $Ave_π(∑_{i=1}^{n} |x_i a_{π(i)}|^2)^{1/2}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_1,...,a_n$ so that the above expression is equivalent to a given Orlicz norm.
LA - eng
KW - embedding of 2-concave Orlicz spaces into ; Orlicz norm; Orlicz function
UR - http://eudml.org/doc/216161
ER -