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Hp multipliers and inequalities of Hardy and Littlewood
Published online by Cambridge University Press: 09 April 2009
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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,…).
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- Copyright © Australian Mathematical Society 1969
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