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Mean growth of the derivative of certain classes of analytic functions

Published online by Cambridge University Press:  24 October 2008

Daniel Girela
Daniel Girela
Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
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Abstract

In this paper we study the question of characterizing those positive Borel measures μ on the unit disc Δ for which the differentiation operator D defined by Df = f′ maps the Hardy space Hp continuously into the Bergman space Bp(dμ) of all functions f analytic in Δ which belong to Lp (Δ, dμ).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 2 , September 1992 , pp. 335 - 342
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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