The Stein-Weiss theorem for the ergodic Hilbert transform

Lasha Ephremidze

Studia Mathematica (2004)

  • Volume: 165, Issue: 1, page 61-71
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Lasha Ephremidze. "The Stein-Weiss theorem for the ergodic Hilbert transform." Studia Mathematica 165.1 (2004): 61-71. <http://eudml.org/doc/284749>.

@article{LashaEphremidze2004,
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 for the ergodic Hilbert transform in the case of a one-parameter flow of measure-preserving transformations on a σ-finite measure space.},
author = {Lasha Ephremidze},
journal = {Studia Mathematica},
keywords = {ergodic Hilbert transform; Stein-Weiss theorem},
language = {eng},
number = {1},
pages = {61-71},
title = {The Stein-Weiss theorem for the ergodic Hilbert transform},
url = {http://eudml.org/doc/284749},
volume = {165},
year = {2004},
}

TY - JOUR
AU - Lasha Ephremidze
TI - The Stein-Weiss theorem for the ergodic Hilbert transform
JO - Studia Mathematica
PY - 2004
VL - 165
IS - 1
SP - 61
EP - 71
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 for the ergodic Hilbert transform in the case of a one-parameter flow of measure-preserving transformations on a σ-finite measure space.
LA - eng
KW - ergodic Hilbert transform; Stein-Weiss theorem
UR - http://eudml.org/doc/284749
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.