A Note on the Norm of the Embedding of PW2 into PWq
Iñaki Garrido, Filippo Persico, Denis Zelent
Abstract
We improve the currently best known bound for the norm of the embedding of PW2 into PWq for all q>2. We show that our bound is asymptotically optimal as q ∞. Our approach combines the recently established theorem of optimal Paley-Wiener concentration with a Hardy-Littlewood-Pólya majorization argument.
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