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

Publicacions Matemàtiques (1990)

- Volume: 34, Issue: 1, page 77-91
- ISSN: 0214-1493

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topBurgués 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 -

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