In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.
@article{urn:eudml:doc:41402,
title = {Some applications of the trace condition for pluriharmonic functions in Cn.},
journal = {Publicacions Matem\`atiques},
volume = {44},
year = {2000},
pages = {449-456},
mrnumber = {MR1800817},
zbl = {0978.32032},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41402}
}
Perotti, Alessandro. Some applications of the trace condition for pluriharmonic functions in Cn.. Publicacions Matemàtiques, Tome 44 (2000) pp. 449-456. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41402/