TY - JOUR AU - Rajala, Tapio AU - Takanen, Jyrki AU - GarcΓ­a Bravo, Miguel PY - 2024 DO - 10.1016/j.na.2023.113446 UR - https://hdl.handle.net/20.500.14352/122493 T2 - Nonlinear Analysis AB - We give a necessary condition for a domain to have a bounded extension operator from 𝐿1,𝑝(𝛺) to 𝐿1,𝑝(R𝑛) for the range 1 < 𝑝 < 2. The condition is given in terms of a power of the distance to the boundary of 𝛺 integrated along the measure... LA - eng M2 - 113446 (22) PB - Elsevier KW - Sobolev extension TI - A necessary condition for Sobolev extension domains in higher dimensions TY - journal article VL - 240 ER -