Radial Hardy space
| Autor: | Francheto, Victor Hugo Falcão |
|---|---|
| Přispěvatelé: | Hoepfner, Gustavo, Picon, Tiago Henrique |
| Jazyk: | portugalština |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Repositório Institucional da UFSCAR Universidade Federal de São Carlos (UFSCAR) instacron:UFSCAR |
| Popis: | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) One presents in this work an atomic decomposition via radial atoms for distributions on subspace $\mathcal{H}^{p}_{rad}(\mathds{R}^{n})$ for $0 < p\leqslant 1$, of Hardy radial spaces $H_{rad}^{p}(\mathds{R}^{n}) \doteq H^{p}(\mathds{R}^{n}) \cap \mathcal{S}'_{rad}(\mathds{R}^n)$. Such atomic decomposition tell us that, if $f \in \mathcal{H}^{p}_{rad}(\mathds{R}^{n})\subseteq H_{rad}^{p}(\mathds{R}^n)$, then $f$ has an atomic decomposition and the atoms of its decomposition are radials. This work extends a theorem proved by R. R. Coifman and G. Weiss in which the authors give a radial atomic decomposition for radial functions in $H^1(\mathds{R}^n)$ where the atoms of such decomposition are radial functions. The decomposition that we present here give us similar about the atoms radiallity for $0 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|