Geodesic
On the generalization of the Stein–Weiss theorem for the ergodic Hilbert transform
Lasha Ephremidze1
1A. Razmadze Mathematical Institute 1, M. Aleksidze Str. 380093 Tbilisi, Georgia
Studia Mathematica, Tome 155 (2003) no. 1, pp. 67-75
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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 to the ergodic Hilbert transform.
DOI : 10.4064/sm155-1-5
Keywords: stein weiss theorem distribution function hilbert transform characteristic function depends only measure generalized ergodic hilbert transform

Lasha Ephremidze  1

1 A. Razmadze Mathematical Institute 1, M. Aleksidze Str. 380093 Tbilisi, Georgia 
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Lasha Ephremidze. On the generalization of the Stein–Weiss theorem for
 the ergodic Hilbert transform. Studia Mathematica, Tome 155 (2003) no. 1, pp. 67-75. doi: 10.4064/sm155-1-5

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