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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 ...

• 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 ...

• Mappings of finite distortion : boundary extensions in uniform domains 

  Äkkinen, Tuomo; Guo, Changyu (Springer, 2017)

  In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these ...

• Morrey–Sobolev Extension Domains 

  Koskela, Pekka; Zhang, Yi; Zhou, Yuan (Springer New York LLC, 2017)

  We show that every uniform domain of R n with n ≥ 2 is a Morrey-Sobolev W 1, p-extension domain for all p ∈ [1, n), and moreover, that this result is essentially best possible for each p ∈ [1, n) in the sense that, given ...

• Lip[sub h]-extension domains 

  Lappalainen, Vesa (1985)