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/