On the ℓp-norm of the discrete Hilbert transform
نویسندگان
چکیده
منابع مشابه
On the P - Norm of the Truncated Hilbert Transform
The p-norm of the Hilbert transform is the same as the p-norm of its truncation to any Lebesgue measurable set with strictly positive measure. This fact follows from two symmetry properties, the joint presence of which is essentially unique to the Hilbert transform. Our result applies, in particular, to the finite Hilbert transform taken over ( — 1,1), and to the one-sided Hilbert transform tak...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2019
ISSN: 0012-7094
DOI: 10.1215/00127094-2018-0047