Let D be a bounded strict pseudoconvex non-smooth domain in Cn. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ∂-equation with Lp-data in regular strictly pseudoconvex domains (see [2]) are also valid for D. We also give estimates of the same type for the ∂b in the regular part of the boundary of these domains.
@article{urn:eudml:doc:41115,
title = {H\"older and Lp estimates for the solutions of the $\partial$-equation in non-smooth strictly pseudoconvex domains.},
journal = {Publicacions Matem\`atiques},
volume = {34},
year = {1990},
pages = {77-91},
zbl = {0712.32014},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41115}
}
Burgués Badía, Josep M. Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.. Publicacions Matemàtiques, Tome 34 (1990) pp. 77-91. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41115/