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A new characterization of the unit ball of $H^2$

Author(s): R. A. Kortram
Journal: Proc. Amer. Math. Soc. 132 (2004), 127-133.
MSC (2000): Primary 30D55
Posted: March 25, 2003
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Abstract: We derive a new expression for the norm of $H^2$ functions; we present some well-known results in a different setting.

References:

1.
Lars V. Ahlfors, Conformal Invariants, McGraw Hill (New York), 1973. MR 50:10211
2.
P.L. Duren, Theory of $H^p$ spaces, Academic Press (New York, London), 1970. MR 42:3552
3.
G. Pick; Über die Beschränkungen analytischer Funktionen, welche durch vorgeschriebene Werte bewirkt werden, Math. Ann. 77 (1915), 7-23.

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Additional Information:

R. A. Kortram
Affiliation: Department of Mathematics, Catholic University, Toernooiveld, 6525 ED Nijmegen, The Netherlands
Email: kortram@math.kun.nl

DOI: 10.1090/S0002-9939-03-06992-2
PII: S 0002-9939(03)06992-2
Received by editor(s): August 13, 2002
Posted: March 25, 2003
Communicated by: Juha M. Heinonen
Copyright of article: Copyright 2003, American Mathematical Society

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