On noncommutative weighted local ergodic theorems on Lp-spaces

被引：0
|
作者：
Farrukh Mukhamedov
Abdusalom Karimov
机构：
[1] International Islamic University Malaysia,Department of Computational & Theoretical Sciences Faculty of Sciences
[2] Tashkent Institute of Textile and Light Industry,Department of Mathematics
来源：
Periodica Mathematica Hungarica | 2007年 / 55卷
关键词：
local ergodic theorem; the Banach Principle; Besicovitch function; 46L50; 46L55; 46L53; 47A35; 35A99;
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摘要：
In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace τ, and {αt}, a strongly continuous extension to Lp(M, τ) of a semigroup of absolute contractions on L1(M, τ). By means of a non-commutative Banach Principle we prove for a Besicovitch function b and x ∊ Lp(M, τ), that the averages 1/T ∫0Tb(t)αt(x)dt converge bilateral almost uniformly in Lp (M, τ) as T → 0.
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页码：223 / 235
页数：12
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