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Hp multipliers and inequalities of Hardy and Littlewood

Published online by Cambridge University Press:  09 April 2009

G. I. Gaudry
G. I. Gaudry
Affiliation:
Mathematics Institute University of WarwickCoventry
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Consider the classical Hardy spaces Hp(T) (1 ≦ p ≦ ∞) on the unit circle T. We shall ignore completely the fact that the elements of Hp(T) can be extended via the Poisson formula to certain types of functions analytic inside the unit disc. For our purposes, Hp(T) is the closed ideal in Lp(T) consisting of those functions f ∈ Lp(T) for which (n) = 0 (n= –1, –2,…).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 23 - 32
Copyright
Copyright © Australian Mathematical Society 1969

References

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