On the embedding of 2-concave Orlicz spaces into L¹
Studia Mathematica, Tome 113 (1995) no. 1, pp. 73-80
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_113_1_73_80,
author = {Carsten Sch\"utt},
title = {On the embedding of 2-concave {Orlicz} spaces into {L{\textonesuperior}}},
journal = {Studia Mathematica},
pages = {73--80},
year = {1995},
volume = {113},
number = {1},
doi = {10.4064/sm-113-1-73-80},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-113-1-73-80/}
}
Carsten Schütt. On the embedding of 2-concave Orlicz spaces into L¹. Studia Mathematica, Tome 113 (1995) no. 1, pp. 73-80. doi: 10.4064/sm-113-1-73-80
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