p-q-convergence of sequences of measurable functions

被引：1

作者：

Papachristodoulos, C. ^{[1
]}

Papanastassiou, N. ^{[1
]}

Wilczynski, W. ^{[2
]}

机构：

[1] Univ Athens, Dept Math, GR-10679 Athens, Greece

[2] Univ Lodz, Dept Math, PL-90131 Lodz, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 12期

关键词：

q-complete convergence; p-q-complete convergence;

D O I：

10.1016/j.topol.2011.05.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce new types of convergence of sequences of measurable functions stronger than convergence in measure for each pair of positive real numbers p, q and we obtain a classification of convergences in measure. Also in the space M of sequences of measurable functions converging in measure to zero, we introduce in a natural way an equivalence relation similar to, and in the quotient space M = M/similar to a metric, under which M turns to be a complete metric space. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1478 / 1492

页数：15

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