Abstract
Let $X$ be an interval, $Y$ a metric space, $T$ a set of parameters, and $f:T\times X\to Y$ a function. For given $t\in T$ denote by $v(t)$ the total variation of $f(t,\cdot )$ on $X$. We look for sufficient conditions for regular (measurable, continuous, etc.) dependence of $v$ on $t$.
Citation
M. Balcerzak. A. Kucia. A. Nowak. "Regular dependence of total variation on parameters.." Real Anal. Exchange 29 (2) 921 - 930, 2003-2004.
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