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• Strong BV-extension and W1,1-extension domains 

  García-Bravo, Miguel; Rajala, Tapio (Elsevier, 2022)

  We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a strong BV-extension domain. In the planar case, bounded and strong BV-extension domains are shown to be exactly those ...

• Capacity extension domains 

  Koskela, Pekka (1990)

• On the Boundaries of Sobolev Extension Domains 

  Takanen, Jyrki (Jyväskylän yliopisto, 2023)

  The main subject of this dissertation is Sobolev extension domains, specially with focus on their boundaries. A fundamental question is to find necessary and sufficient conditions for classifying domains on which each ...

• Cardioid-Type Domains and Regularity of Homeomorphic Extensions 

  Xu, Haiqing (Jyväskylän yliopisto, 2019)

• Planar Sobolev extension domains 

  Zhang, Yi (University of Jyväskylä, 2017)

  This doctoral thesis deals with geometric characterizations of bounded planar simply connected Sobolev extension domains. It consists of three papers. In the first and third papers we give full geometric characterizations ...