Geodesic
On the generalization of the Stein–Weiss theorem for the ergodic Hilbert transform
Lasha Ephremidze1
1 A. Razmadze Mathematical Institute 1, M. Aleksidze Str. 380093 Tbilisi, Georgia
Studia Mathematica, Tome 155 (2003) no. 1, pp. 67-75

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_sm155_1_5,
     author = {Lasha Ephremidze},
     title = {On the generalization of the {Stein{\textendash}Weiss} theorem for
 the ergodic {Hilbert} transform},
     journal = {Studia Mathematica},
     pages = {67--75},
     publisher = {mathdoc},
     volume = {155},
     number = {1},
     year = {2003},
     doi = {10.4064/sm155-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-5/}
}
TY  - JOUR
AU  - Lasha Ephremidze
TI  - On the generalization of the Stein–Weiss theorem for
 the ergodic Hilbert transform
JO  - Studia Mathematica
PY  - 2003
SP  - 67
EP  - 75
VL  - 155
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-5/
DO  - 10.4064/sm155-1-5
LA  - en
ID  - 10_4064_sm155_1_5
ER  - 
%0 Journal Article
%A Lasha Ephremidze
%T On the generalization of the Stein–Weiss theorem for
 the ergodic Hilbert transform
%J Studia Mathematica
%D 2003
%P 67-75
%V 155
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-5/
%R 10.4064/sm155-1-5
%G en
%F 10_4064_sm155_1_5
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

Cité par Sources :