If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).
@article{urn:eudml:doc:41194,
title = {Existence domains for holomorphic Lp functions.},
journal = {Publicacions Matem\`atiques},
volume = {38},
year = {1994},
pages = {207-212},
mrnumber = {MR1291963},
zbl = {0816.32010},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41194}
}
Daras, Nicholas J. Existence domains for holomorphic Lp functions.. Publicacions Matemàtiques, Tome 38 (1994) pp. 207-212. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41194/