Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-28T01:31:40.892Z Has data issue: false hasContentIssue false
  • English
  • Français

A Banach Algebra Structure for Hp

Published online by Cambridge University Press:  20 November 2018

Neil M. Wigley
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

1. Duren, P. L., Theory of Hp Spaces, Academic, New York.Google Scholar
2. Boas, R. P. Jr., Entire Functions, Academic, New York.Google Scholar
3. Ditkin, and Prudnikov, , Integral Transforms and Operational Calculus, Pergamon, New York.Google Scholar
4. Dunford, and Schwartz, , Linear Operators, Interscience, New York.Google Scholar
5. Porcelli, P., Linear Spaces of Analytic Functions, Rand McNally, Chicago.Google Scholar