一类 Markov-Feller 算子不变测度的存在性与唯一性
일류 Markov-Feller 산자불변측도적존재성여유일성
The Existence and Uniqueness of Invariant Probability Measures for a Class of Markov-Feller OPerators
  • 万方数据
    江西师范大学学报（自然科学版） 강서사범대학학보（자연과학판）
    JOURNAL OF JIANGXI NORMAL UNIVERSITY（NATURAL SCIENCES EDITION）
    2014年 4期 419-423 ,共5页

    郭新伟%吕延芳%齐海涛

    곽신위%려연방%제해도

    Markov-Feller 算子%不变测度%唯一不变测度 Markov-Feller 算子%不變測度%唯一不變測度
    Markov-Feller 산자%불변측도%유일불변측도
    Markov-Feller operators%invariant measures%unique invariant measures
    讨论了完备可分距离空间上一类 Markov-Feller 算子的遍历性质，给出了存在不变测度的充分必要条件以及唯一不变测度的充分条件，研究了此类算子轨道的稠密性质。
    토론료완비가분거리공간상일류 Markov-Feller 산자적편력성질，급출료존재불변측도적충분필요조건이급유일불변측도적충분조건，연구료차류산자궤도적주밀성질。
    The ergodic property of the Markov-Feller operators on complete separable spaces is discussed. The exist-ence and uniqueness of invariant probability measures for the Markov-Feller operators with equicontinuous dual op-erators is given. In addition,the dense trajectories for the operators is studied.
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