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On interpolating sequences for Bloch type spaces

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When we deal with H∞, it is known that c0−interpolating sequences are interpolating and it is sufficient to interpolate idempotents of l∞ in order to interpolate the whole l∞. We… Click to show full abstract

When we deal with H∞, it is known that c0−interpolating sequences are interpolating and it is sufficient to interpolate idempotents of l∞ in order to interpolate the whole l∞. We will extend these results to the frame of interpolating sequences for Bloch type spaces B∞ v and study the connection between the interpolating operators on B∞ v and B v . Furthermore, for some particular weights v, we will provide examples of interpolating sequences for B∞ v whose constant of separation is as close to 0 as desired.

Keywords: bloch type; interpolating sequences; sequences bloch; type spaces

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022

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