Boundary behavior of functions in the de Branges--Rovnyak spaces

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dc.creatorFricain, Emmanuel
dc.creatorMashreghi, Javad
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:52Z
dc.date.available2026-07-07T09:18:52Z
dc.descriptionThis paper deals with the boundary behavior of functions in the de Branges--Rovnyak spaces. First, we give a criterion for the existence of radial limits for the derivatives of functions in the de Branges--Rovnyak spaces. This criterion generalizes a result of Ahern-Clark. Then we prove that the continuity of all functions in a de Branges--Rovnyak space on an open arc $I$ of the boundary is enough to ensure the analyticity of these functions on $I$. We use this property in a question related to Bernstein's inequality.
dc.identifierhttps://arxiv.org/abs/0802.0679
dc.identifierhttp://arxiv.org/abs/0802.0679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154181
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.titleBoundary behavior of functions in the de Branges--Rovnyak spaces
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