The Stein-Weiss theorem for the ergodic Hilbert transform
Lasha Ephremidze
Studia Mathematica, Tome 162 (2004), p. 61-71 / Harvested from The Polish Digital Mathematics Library
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The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized for the ergodic Hilbert transform in the case of a one-parameter flow of measure-preserving transformations on a σ-finite measure space.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284749 
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Lasha Ephremidze. The Stein-Weiss theorem for the ergodic Hilbert transform. Studia Mathematica, Tome 162 (2004) pp. 61-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-1-5/