L log L and finite entropy
Let be a measure space. We show that if and there is at least one nonnegative function (not necessarily ) such that then and This property is trivial when but not when even if μ is σ-finite, which is not assumed. The discrete case when is spelled out in the last section.
| 出版年: | Advances in Nonlinear Analysis |
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| 主要な著者: | , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
De Gruyter
2013-11-01
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1515/anona-2013-0018 |