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math.AP2022
A necessary condition for Sobolev extension domains in higher dimensions
Miguel García-Bravo, Tapio Rajala, Jyrki Takanen
We give a necessary condition for a domain to have a bounded extension operator from to for the range . The condition is given in ter…
math.AP2022
Zero volume boundary for extension domains from Sobolev to
Tapio Rajala, Zheng Zhu
In this note, we prove that the boundary of a -extension domain is of volume zero under the assumption that the domain $\boz$ is -fat at almost every $x\in\parti…