Geometric conditions for interpolation in weighted spaces of entire functions

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dc.creatorOunaies, Myriam
dc.date2006-05-30
dc.date2008-01-19
dc.date.accessioned2026-07-07T08:55:24Z
dc.date.available2026-07-07T08:55:24Z
dc.descriptionWe use $L^2$ estimates for the $\bar\partial$ equation to find geometric conditions on discrete interpolating varieties for weighted spaces $A_p(\C)$ of entire functions such that $| f(z)|\le Ae^{Bp(z)}$ for some $A,B>0$. In particular, we give a characterization when $p(z)=e^{| z|}$ and more generally when $\ln p(e^r)$ is convex and $\ln p(r)$ is concave.
dc.identifierhttps://arxiv.org/abs/math/0605760
dc.identifierhttp://arxiv.org/abs/math/0605760
dc.identifierJ. Geom. Anal. 17 (2007), no.8, 701-716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146261
dc.subjectComplex Variables
dc.subject30E05, 41A05
dc.titleGeometric conditions for interpolation in weighted spaces of entire functions
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