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Interpolating sequences for the derivatives of Bloch functions

Published online by Cambridge University Press:  18 May 2009

K. R. M. Attele
K. R. M. Attele
Affiliation:
Department of Mathematics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
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Abstract

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We prove that sufficiently separated sequences are interpolating sequences for f′(z)(1−|z|2) where f is a Bloch function. If the sequence {zn} is an η net then the boundedness f′(z)(1−|z|2) on {zn} is a sufficient condition for f to be a Bloch function. The essential norm of a Hankel operator with a conjugate analytic symbol acting on the Bergman space is shown to be equivalent to .

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 1 , January 1992 , pp. 35 - 41
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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