A Banach Algebra Structure for Hp

Neil M. Wigley

doi:10.4153/CMB-1975-106-4

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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.

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A Banach Algebra Structure for Hp

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