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Pietro Majer
Pietro Majer
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For a fixed $u \in BV(\mathbb{R}^N)$, consider the function $h:(0,+\infty) \to BV(\mathbb{R}^N)$, given by

$h(t) = u (tx)$.

DoesIs $h$ is continuous?

For a fixed $u \in BV(\mathbb{R}^N)$, consider the function $h:(0,+\infty) \to BV(\mathbb{R}^N)$, given by

$h(t) = u (tx)$.

Does $h$ is continuous?

For a fixed $u \in BV(\mathbb{R}^N)$, consider the function $h:(0,+\infty) \to BV(\mathbb{R}^N)$, given by

$h(t) = u (tx)$.

Is $h$ continuous?

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Marcos
Marcos
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About the continuity of a function on BV

For a fixed $u \in BV(\mathbb{R}^N)$, consider the function $h:(0,+\infty) \to BV(\mathbb{R}^N)$, given by

$h(t) = u (tx)$.

Does $h$ is continuous?