A new characterization of the unit ball of $H^2$
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- by R. A. Kortram PDF
- Proc. Amer. Math. Soc. 132 (2004), 127-133 Request permission
Abstract:
We derive a new expression for the norm of $H^2$ functions; we present some well-known results in a different setting.References
- Lars V. Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0357743
- Peter L. Duren, Theory of $H^{p}$ spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- G. Pick; Über die Beschränkungen analytischer Funktionen, welche durch vorgeschriebene Werte bewirkt werden, Math. Ann. 77 (1915), 7-23.
Additional Information
- R. A. Kortram
- Affiliation: Department of Mathematics, Catholic University, Toernooiveld, 6525 ED Nijmegen, The Netherlands
- Email: kortram@math.kun.nl
- Received by editor(s): August 13, 2002
- Published electronically: March 25, 2003
- Communicated by: Juha M. Heinonen
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 127-133
- MSC (2000): Primary 30D55
- DOI: https://doi.org/10.1090/S0002-9939-03-06992-2
- MathSciNet review: 2021255