Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.

Burgués Badía, Josep M.. "Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.." Publicacions Matemàtiques 34.1 (1990): 77-91. <http://eudml.org/doc/41115>.

@article{BurguésBadía1990,
abstract = {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.},
author = {Burgués Badía, Josep M.},
journal = {Publicacions Matemàtiques},
keywords = {Operadores; Estimadores; Lipschitz conditions; operator norms; kernel estimates; (partial d)bar- Neumann problem; spaces},
language = {eng},
number = {1},
pages = {77-91},
title = {Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.},
url = {http://eudml.org/doc/41115},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Burgués Badía, Josep M.
TI - Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 77
EP - 91
AB - 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.
LA - eng
KW - Operadores; Estimadores; Lipschitz conditions; operator norms; kernel estimates; (partial d)bar- Neumann problem; spaces
UR - http://eudml.org/doc/41115
ER -