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Beurling type density theorems for weighted Lp spaces of entire functions
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Set $\Delta=\partial^{2} / \partial_{z} \partial_{\bar{z}}$ and let $\varphi$ be a subharmonic function satisfying $02 / \pi .$ (2) If a sequence $\Gamma$ is interpolating for $\mathcal{F}_{\varphi}^{p}$ then it is uniformly separated and satisfies $D_{\varphi}^{+}(\Gamma)<2 / \pi$. In ( 1 ) and ( 2 ), it is known that the converses are also true.
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ORTEGA CERDÀ, Joaquim and SEIP, Kristian. Beurling type density theorems for weighted Lp spaces of entire functions. Journal d'Analyse Mathematique. 1998. Vol. 75, num. 247-266. ISSN 0021-7670. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/164738