Uniqueness theorems for Korenblum type spaces

Simple item page
dc.creatorBorichev, Alexander
dc.creatorLyubarskii, Yurii
dc.date2005-12-18
dc.date.accessioned2026-07-07T06:55:29Z
dc.date.available2026-07-07T06:55:29Z
dc.descriptionFor a scale of spaces $X$ of functions analytic in the unit disc, including the Korenblum space, and for some natural families $\mathcal E$ of uniqueness subsets for $X$, we describe minorants for $(X,\mathcal E)$, that is non-decreasing functions $M:(0,1)\to(0,\infty)$ such that $f\in X$, $E\in\mathcal E$, and $\log|f(z)|\le -M(|z|)$ on $E$ imply $f=0$. We give an application of this result to approximation by simple fractions with restrictions on the coefficients.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0512425
dc.identifierhttp://arxiv.org/abs/math/0512425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106293
dc.subjectComplex Variables
dc.subject30H05; 31A05
dc.titleUniqueness theorems for Korenblum type spaces
dc.typetext

Files

Collections

arXiv