Please use this identifier to cite or link to this item: http://rportal.lib.ntnu.edu.tw:80/handle/77345300/17578
Title: A Note on the Kolmogorov Condition of a Weak Type Operator
Other Titles: 弱型算子的Kolmogorov條件之探討
Authors: 陳昭地
Issue Date: Jun-1984
Publisher: 國立臺灣師範大學研究發展處
Office of Research and Development
Abstract: 本文主要的目的在予完整地探討弱型算子的Kolmogorov 條件,Kolmogorov條件在研究弱型算子上是相當重要的性質;而算子的強、弱型之性質在實分析學上具有廣泛應用的工具,因此對算子 Kolmogorov 條件之研究具有其實質意義。本文主要的結果是推廣弱型算子與滿足Kolmogorov條件的等價性,並指出其推廣時所限制因素的一些實例。
In this article we are mainly concerned with the Kolmogorov condition which is a very nice tool to study the type of an operator. It is proved that an operator T from m(Ω1) to (Ω2), is of o-finite, is of weak type (p,s), l≦ p ≦∞, 1≦s≦∞, if and only if T satisfies the Kolmogorov condition. It is also pointed out that the hypothesis "Ω2 is of a-finite", is not redundant.
URI: http://rportal.lib.ntnu.edu.tw//handle/77345300/17578
Other Identifiers: B5631B56-9C3F-15E0-DB42-5B7E2997044E
Appears in Collections:師大學報

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