Bi-Lipschitz invariance of planar $BV$- and $W^{1,1}$-extension domains


Abstract in English

We prove that a bi-Lipschitz image of a planar $BV$-extension domain is also a $BV$-extension domain, and that a bi-Lipschitz image of a planar $W^{1,1}$-extension domain is again a $W^{1,1}$-extension domain.

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