On the embedding of 2-concave Orlicz spaces into $L^1$

Carsten Schütt

On the embedding of 2-concave Orlicz spaces into $L^1$

泛函分析 2016-09-06 v1

作者: Carsten Schütt

摘要

In [K--S 1] it was shown that $\underset {\pi} \to {\text{Ave}} (\sum_{i=1}^{n}|x_i a_{\pi(i)}|^2)^{\frac {1}{2}}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_1, a_2,....,a_n$ so that the above expression is equivalent to a given Orlicz norm.

引用

@article{arxiv.math/9402204,
  title  = {On the embedding of 2-concave Orlicz spaces into $L^1$},
  author = {Carsten Schütt},
  journal= {arXiv preprint arXiv:math/9402204},
  year   = {2016}
}

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