On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform

Lasha Ephremidze. "On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform." Studia Mathematica 155.1 (2003): 67-75. <http://eudml.org/doc/285032>.

@article{LashaEphremidze2003,
abstract = {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.},
author = {Lasha Ephremidze},
journal = {Studia Mathematica},
keywords = {ergodic Hilbert transform; Stein-Weiss theorem; flows; ergodic measure preserving transformations},
language = {eng},
number = {1},
pages = {67-75},
title = {On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform},
url = {http://eudml.org/doc/285032},
volume = {155},
year = {2003},
}

TY - JOUR
AU - Lasha Ephremidze
TI - On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 1
SP - 67
EP - 75
AB - 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.
LA - eng
KW - ergodic Hilbert transform; Stein-Weiss theorem; flows; ergodic measure preserving transformations
UR - http://eudml.org/doc/285032
ER -