# On the embedding of 2-concave Orlicz spaces into L¹

Studia Mathematica (1995)

- Volume: 113, Issue: 1, page 73-80
- ISSN: 0039-3223

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topSchütt, 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 -

## References

top- [B-D] J. Bretagnolle et D. Dacunha-Castelle, Application de l’étude de certaines formes linéaires aléatoires au plongement d’espaces de Banach dans les espaces ${L}^{p}$, Ann. Sci. École Norm. Sup. 2 (1969), 437-480. Zbl0229.60006
- [K-S1] S. Kwapień and C. Schütt, Some combinatorial and probabilistic inequalities and their application to Banach space theory, Studia Math. 82 (1985), 91-106. Zbl0579.46013
- [K-S2] S. Kwapień and C. Schütt, Some combinatorial and probabilistic inequalities and their application to Banach space theory II, ibid. 95 (1989), 141-154. Zbl0706.46014

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