Almost everywhere convergence and boundedness of Cesàro-α ergodic averages in Lp,q-spaces.

Martín Reyes, Francisco J., and Sarrión Gavilán, María Dolores. "Almost everywhere convergence and boundedness of Cesàro-α ergodic averages in Lp,q-spaces.." Publicacions Matemàtiques 43.1 (1999): 217-234. <http://eudml.org/doc/41363>.

@article{MartínReyes1999,
abstract = {Let (X, μ) be a σ-finite measure space and let τ be an ergodic invertible measure preserving transformation. We study the a.e. convergence of the Cesàro-α ergodic averages associated with τ and the boundedness of the corresponding maximal operator in the setting of Lp,q(wdμ) spaces.},
author = {Martín Reyes, Francisco J., Sarrión Gavilán, María Dolores},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de la medida; Espacios LP; Teoría ergódica; Convergencia casi segura; Cesàro- average; ergodic average; Lorentz spaces},
language = {eng},
number = {1},
pages = {217-234},
title = {Almost everywhere convergence and boundedness of Cesàro-α ergodic averages in Lp,q-spaces.},
url = {http://eudml.org/doc/41363},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Martín Reyes, Francisco J.
AU - Sarrión Gavilán, María Dolores
TI - Almost everywhere convergence and boundedness of Cesàro-α ergodic averages in Lp,q-spaces.
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 1
SP - 217
EP - 234
AB - Let (X, μ) be a σ-finite measure space and let τ be an ergodic invertible measure preserving transformation. We study the a.e. convergence of the Cesàro-α ergodic averages associated with τ and the boundedness of the corresponding maximal operator in the setting of Lp,q(wdμ) spaces.
LA - eng
KW - Teoría de la medida; Espacios LP; Teoría ergódica; Convergencia casi segura; Cesàro- average; ergodic average; Lorentz spaces
UR - http://eudml.org/doc/41363
ER -