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We give upper and lower bounds for constants appearing in the L²-estimates for the ∂̅-operator due to Donnelly-Fefferman and Berndtsson.
Soit un espace de Banach complexe, et notons la boule de rayon centrée en . On considère le problème d’approximation suivant: étant donnés , et une fonction holomorphe dans , existe-t-il toujours une fonction , holomorphe dans , telle que sur ? On démontre que c’est bien le cas si est l’espace des suites sommables.
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