TY - JOUR AU - García Bravo, Miguel AU - Rajala, Tapio AU - Zhu, Zheng PY - 2022 DO - 10.1090/proc/15878 UR - https://hdl.handle.net/20.500.14352/122499 T2 - Proceedings of the American Mathematical Society AB - 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 W1,1-extension domain is again a W1,1-extension domain. LA - eng M2 - 2535 PB - American Mathematical Society KW - Sobolev extension KW - BV-extension TI - Bi-Lipschitz invariance of planar BV − and W1,1−extension domains TY - journal article VL - 150 ER -