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On Schauder bases in Hardy spaces

Published online by Cambridge University Press:  14 November 2011

P. Oswald
P. Oswald
Affiliation:
Technische Universität Dresden, Sektion Mathematik, 8027 Dresden, Mommsenstr. 13, DDR
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Synopsis

It is proved that in the case ½<p<l the periodic Franklin system forms a Schauder basis for the real Hardy space Hp(T) defined on the one-dimensional torus.

In this note we prove the following

Theorem. The periodic Franklin system forms a Schauder basis in the real Hardyspace Hp(T) defined on the one-dimensional torus if ½<p< l.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 3-4 , 1983 , pp. 259 - 263
Copyright
Copyright © Royal Society of Edinburgh 1983

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