Measuring Triebel-Lizorkin fractional smoothness on domains in terms of first-order differences
| Autor: | Prats, Martí |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/jlms.12225 |
| Popis: | In this note we give equivalent characterizations for a fractional Triebel-Lizorkin space $F^s_{p,q}(\Omega)$ in terms of first-order differences in a uniform domain $\Omega$. The characterization is valid for any positive, non-integer real smoothness $s\in \mathbb{R}_+\setminus \mathbb{N}$ and {indices $1\leq p<\infty$, $1\leq q \leq \infty$} as long as the fractional part $\{s\}$ is greater than $d/p-d/q$. Comment: 25 pages, 3 figures log: misprints fixed, a couple of proofs amended, the range of indices $p$ and $q$ has been extended to the usual endpoints, an appendix is needed to address some background in these cases |
| Databáze: | arXiv |
| Externí odkaz: |
|