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
• Títulos paralelos:
  • Dominios de existencia para funciones Lp holomorfas
• Enlaces
  • Texto completo
• 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 $p\in (0,+\infty)$.