Existence domains for holomorphic Lp-functions

Autores: Nicholas J. Daras
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 1, 1994, págs. 207-212
Idioma: inglés
DOI: 10.5565/publmat_38194_16
Títulos paralelos:
- Dominios de existencia para funciones Lp holomorfas
Enlaces
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Resumen
- If $\Omega$ is a domain of holomorphy in $\Bbb C^n$, having a compact topological closure into another domain of holomorphy $U\subset \Bbb C^n$ such that $(\Omega,U)$ is a Runge pair, we construct a function $F$ holomorphic in $\Omega$ which is singular at every boundary point of $\Omega$ and such that $F$ is in $L^p(\Omega)$, for any $p\in (0,+\infty)$.