שמור ב:
| Main Authors: | , , |
|---|---|
| פורמט: | Preprint |
| יצא לאור: |
2018
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| נושאים: | |
| גישה מקוונת: | https://arxiv.org/abs/1806.04651 |
| תגים: |
הוספת תג
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תוכן הענינים:
- The canonical generalizations of two classical norms on Besov spaces are shown to be equivalent even in the case of non-linear Besov spaces, that is, function spaces consisting of functions taking values in a metric space and equipped with some Besov-type topology. The proofs are based on atomic decomposition techniques and metric embeddings. Additionally, we provide embedding results showing how non-linear Besov spaces embed into non-linear $p$-variation spaces and vice versa. We emphasize that we neither assume the UMD property of the involved spaces nor their separability.