I tiakina i:
| Ngā kaituhi matua: | , |
|---|---|
| Hōputu: | Preprint |
| I whakaputaina: |
2020
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| Ngā marau: | |
| Urunga tuihono: | https://arxiv.org/abs/2003.03706 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- On p.c.f. self-similar sets, of which the walk dimensions of heat kernels are in general larger than 2, we find a sharp region where two classes of Besov spaces, the heat Besov spaces $B^{p,q}_σ(K)$ and the Lipschitz-Besov spaces $Λ^{p,q}_σ(K)$, are identitical. In particular, we provide concrete examples that $B^{p,q}_σ(K)=Λ^{p,q}_σ(K)$ with $σ>1$. Our method is purely analytical, and does not involve any heat kernel estimate.