On the generalization of the Stein–Weiss theorem for the ergodic Hilbert transform
Volume 155 / 2003
Studia Mathematica 155 (2003), 67-75
MSC: 28D10, 42A50.
DOI: 10.4064/sm155-1-5
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.
