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학술저널

ON STRONG Mα-INTEGRAL OF BANACH-VALUED FUNCTIONS

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In this paper, we de¯ne the Banach-valued strong M??-integral and study the primitive of the strong M??-integral in terms of the M??-variational measures. We also prove that every function of bounded variation is a multiplier for the strong M??-integral.

1. Introduction

2. De¯nitions and basic properties

3. The M??-variational measure and the strong M??-integral

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