Mobius Instability of Sampling for Small Weighted Spaces of Analytic Functions |
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Authors: | Dhuez Remi |
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Institution: | CMI, LATP, Université de Provence 39, rue F. JoliotCurie, 13453 Marseille cedex 13, France dhuez{at}cmi.univ-mrs.fr |
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Abstract: | In this paper, the space A (D)is considered, consisting of thoseholomorphic functions f on the unit disk D such that || f ||= supz D | f(z)|(|z|) < +, with (1) = 0. The sampling problemis studied for weights satisfying ln (r)/ln(1 r) 0.Möbius stability of sampling is shown to fail in this space.2000 Mathematics Subject Classification 30H05 (primary), 30D60(secondary). |
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