| Título: | Uniform Upper Bound for a Stable Measure of a Small Ball |
| Autores: |
Ryznar, Michal; Wroclaw University of Technology Zak, Tomasz; Wroclaw University of Technology |
| Fecha: | 1998-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics stable measure, small ball 60B11, 69E07 |
| Descripción: | P. Hitczenko, S.Kwapien, W.N.Li, G.Schechtman, T.Schlumprecht and J.Zinn stated the following conjecture. Let $\mu$ be a symmetric $\alpha$-stable measure on a separable Banach space and $B$ a centered ball such that $\mu(B)\le b$. Then there exists a constant $R(b)$, depending only on $b$, such that $\mu(tB)\le R(b)t\mu(B)$ for all $0 < t < 1$. We prove that the above inequality holds but the constant $R$ must depend also on $\alpha$. |
| Idioma: | Inglés |
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