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A Banach Algebra Structure for Hp

Published online by Cambridge University Press:  20 November 2018

Neil M. Wigley
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The Hardy space Hp=Hp(U), where 1≤p≤∞ and U is the unit disc |z|<1, is shown to be an algebra under the product

Moreover for each p, 1≤p≤∞, there exists a constant Cp such that ‖f*g‖p,≤ Cp‖f‖p ‖g‖p.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 597 - 603
Copyright
Copyright © Canadian Mathematical Society 1975

References

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