Oct 1, 1992 - by Hallenbeck and Samotij in [5, p. 461. since g E BMOA, there exists a function b E Lm(dA) such that. (see [I, pp. 22-23]). Let bl and b2 denote ...
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Growth of the derivative of bounded analytic functions
Daniel Girela a a Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain Online Publication Date: 01 October 1992 To cite this Article: Girela, Daniel (1992) 'Growth of the derivative of bounded analytic functions', Complex Variables and Elliptic Equations, 20:1, 221 - 227 To link to this article: DOI: 10.1080/17476939208814602 URL: http://dx.doi.org/10.1080/17476939208814602
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Complex Variables, 1992, Vol. 20, pp. 221-227 Reprints available directly from the publisher Photocopying permitted by license only @ 1992 Gordon and Breach Scicnce Publishers S.A. Printed in the U~llredStates of America
Growth of the Derivative of Bounded Analytic Functions DANIEL GIREiAf Analisis MatemGtico, Facultad de Ciencias, Universidad de Malaga, 29071 Malaga, Spain A well known result of Littlewood and Paley states that if 2 5 p uri: disc A wnich belongs to the Hardy space H P then
< oo and f
is a function analytic in the
This result does no1 remain truc for O
