Abstract
We give a sufficient condition for a function f in the “little Bloch space” \({\cal B}_0\) to have a finite non-tangential limit at a point ξ with ¦ξ¦ = 1. Our result can be viewed as an “one-sided” theorem of Hall type for the space \({\cal B}_0\).
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Dedicated to Professor Walter Hayman on the occasion of his 80th birthday
Research supported in part by grants from “El Ministerio de Educación y Ciencia”, Spain (MTM2004-0078, MTM2006-26627-E) and from “La Junta de Andalucía” (FQM-210, P06-FQM-01504).
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Girela, D. Non-Tangential Limits of Bloch Functions. Comput. Methods Funct. Theory 8, 277–284 (2008). https://doi.org/10.1007/BF03321688
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DOI: https://doi.org/10.1007/BF03321688