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math.FA2022★ 3 cited
Extensions and approximations of Banach-valued Sobolev functions
Miguel García-Bravo, Toni Ikonen, Zheng Zhu
In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincaré inequality, we investigate when a given Banach-valued Sobolev function defined on…
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…