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Norm One Multipliers on Subspaces of Lp
Published online by Cambridge University Press: 20 November 2018
Abstract
We present a new elementary proof of the fact that a norm one multiplier ϕ on LP(T) satisfying ϕ(0) = ϕ(k) = 1 is k-periodic, and extend this result, when possible, to multipliers on translation invariant subspaces of LP. A consequence of our work is that all such multipliers on HP(T) are the restriction of a norm one multiplier on LP(T).
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- Research Article
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- Copyright © Canadian Mathematical Society 1992
Footnotes
Research partially supported by the NSERC