Seminars: V. I. Chilin, S. N. Litvinov, Pointwise ergodic theorems in function symmetric spaces

SEMINARS


Functional analysis and its applications November 24, 2016 10:30

Pointwise ergodic theorems in function symmetric spaces V. I. Chilin^a, S. N. Litvinov^b ^a National University of Uzbekistan named after M. Ulugbek, Tashkent ^b Pennsylvania State University, Department of Mathematics
Abstract: For a Dunford-Schwartz operator in fully symmetric spaces of measurable functions of an arbitrary measure space, we prove pointwise convergence of the conventional and weighted ergodic averages of real and complex valued measurable functions.