Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.

Mats Andersson; Hasse Carlsson

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 1, page 67-101
  • ISSN: 0213-2230

Abstract

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Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.

How to cite

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Andersson, Mats, and Carlsson, Hasse. "Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.." Revista Matemática Iberoamericana 11.1 (1995): 67-101. <http://eudml.org/doc/39486>.

@article{Andersson1995,
abstract = {Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.},
author = {Andersson, Mats, Carlsson, Hasse},
journal = {Revista Matemática Iberoamericana},
keywords = {Funciones holomorfas; Funciones de variable compleja; Ecuaciones diferenciales en derivadas parciales; Análisis armónico; Dominios pseudoconvexos; Cauchy-Riemann complex; parametrix; Carlson measure},
language = {eng},
number = {1},
pages = {67-101},
title = {Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.},
url = {http://eudml.org/doc/39486},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Andersson, Mats
AU - Carlsson, Hasse
TI - Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 1
SP - 67
EP - 101
AB - Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.
LA - eng
KW - Funciones holomorfas; Funciones de variable compleja; Ecuaciones diferenciales en derivadas parciales; Análisis armónico; Dominios pseudoconvexos; Cauchy-Riemann complex; parametrix; Carlson measure
UR - http://eudml.org/doc/39486
ER -

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