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Geometric conditions for interpolation in weighted spaces of entire functions

Myriam Ounaies
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Abstract

We 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.

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Myriam Ounaies. 2008-01-19. Geometric conditions for interpolation in weighted spaces of entire functions. https://arxiv.org/abs/math/0605760

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