Existence of discrete ergodic singular transforms for admissible processes

Doğan Çömez. "Existence of discrete ergodic singular transforms for admissible processes." Colloquium Mathematicae 112.2 (2008): 335-343. <http://eudml.org/doc/284187>.

@article{DoğanÇömez2008,
abstract = {This article is concerned with the study of the discrete version of generalized ergodic Calderón-Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak (1,1). From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the well-known result on the existence of the ergodic Hilbert transform.},
author = {Doğan Çömez},
journal = {Colloquium Mathematicae},
keywords = {Hilbert transform; ergodic discrete singular transform; superadditive process},
language = {eng},
number = {2},
pages = {335-343},
title = {Existence of discrete ergodic singular transforms for admissible processes},
url = {http://eudml.org/doc/284187},
volume = {112},
year = {2008},
}

TY - JOUR
AU - Doğan Çömez
TI - Existence of discrete ergodic singular transforms for admissible processes
JO - Colloquium Mathematicae
PY - 2008
VL - 112
IS - 2
SP - 335
EP - 343
AB - This article is concerned with the study of the discrete version of generalized ergodic Calderón-Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak (1,1). From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the well-known result on the existence of the ergodic Hilbert transform.
LA - eng
KW - Hilbert transform; ergodic discrete singular transform; superadditive process
UR - http://eudml.org/doc/284187
ER -