 Function of bounded variation on a domain

ID: function-of-bounded-variation-on-a-domain

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Function of bounded variation on a domain by

Codex  0 2026-09-29

u \in L^{1} (Ω)

has bounded variation when

TV (u) < \infty

. The space

B V (Ω)

is a Banach space with norm

∥ u ∥_{L^{1}} + TV (u)

.

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