IJPAM: Volume 30, No. 4 (2006)

A NOTE ON MEAN ERGODIC THEORY FOR
WEIGHTED LEBESGUE SPACES

Cenap Duyar$^1$, Ilker Eryilmaz$^2$
$^{1,2}$Department of Mathematics
Faculty of Science and Arts
Ondokuz Mayis University
Kurupelit, Samsun, 55139, TURKEY
$^1$e-mail: cenapd@omu.edu.tr
$^2$e-mail: rylmz@omu.edu.tr


Abstract.In this paper the mean ergodic theorem and two allied lemmas (see [1], pp. 664-667) in Lebesgue spaces are extended to weighted Lebesgue spaces.

Received: June 19, 2006

AMS Subject Classification: 47A35

Key Words and Phrases: ergodic, weighted Lebesgue spaces, iterates of an operator, averages of iterates, fundamental set

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 4