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INTEGRAL MEANS OF THE DERIVATIVES OF BLASCHKE PRODUCTS

Published online by Cambridge University Press:  01 May 2008

EMMANUEL FRICAIN  and
JAVAD MASHREGHI
EMMANUEL FRICAIN
Affiliation:
Université de Lyon; Université Lyon 1; Institut Camille Jordan CNRS UMR 5208; 43, boulevard du 11 Novembre 1918, F-69622 Villeurbanne e-mail: fricain@math.univ-lyon1.fr
JAVAD MASHREGHI
Affiliation:
Département de mathématiques et de statistique, Université Laval, Québec, QC, CanadaG1V 0A6 e-mail: Javad.Mashreghi@mat.ulaval.ca
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Abstract

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We study the rate of growth of some integral means of the derivatives of a Blaschke product and we generalize several classical results. Moreover, we obtain the rate of growth of integral means of the derivative of functions in the model subspace KB generated by the Blaschke product B.

Keywords

Primary: 30D50Secondary: 32A70
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 2 , May 2008 , pp. 233 - 249
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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