HARTMANN, Andreas

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HARTMANN, Andreas
Institut de Mathématiques de Bordeaux [IMB]

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Ce document a été publié dans

Proceedings of the American Mathematical Society. 2012, vol. 140, p. 2411-2416

American Mathematical Society

Résumé en anglais

Given a sequence of points in the unit disk, a well known result due to Carleson states that if given any point of the sequence it is possible to interpolate the value one in that point and zero in all the other points of the sequence, with uniform control of the norm in the Hardy space of bounded analytic functions on the disk, then the sequence is an interpolating sequence (i.e.\ every bounded sequence of values can be interpolated by functions in the Hardy space). It turns out that such a result holds in other spaces. In this short note we would like to show that for a given sequence it is sufficient to find just {\bf one} function interpolating suitably zeros and ones to deduce interpolation in the Hardy space.< Réduire

Mots clés en anglais

Hardy spaces

Interpolating sequences

Weak interpolation

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190110

Project ANR

/ - ANR-09-BLAN-0058

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251