On the p-norm of the truncated n-dimensional Hilbert transform
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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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On the Two Dimensional Bilinear Hilbert Transform
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1991
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700029002