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Keywords:
regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function
regulated function; bounded variation; function with values in a Banach space; $\varphi $-variation; relative compactness; equiregulated function
Summary:
This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
References:
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