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math.CV2026
Equivalent characterizations of John and uniform domains in doubling metric spaces
Yaxiang Li, Yahui Sheng, Zhuang Wang
In this paper, we characterize John and uniform domains in doubling metric spaces. Specifically, we show that a locally quasiconvex domain in a doubling metric space is length John…
math.CV2021
Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains
Zhuang Wang, Haiqing Xu
Let be a Jordan domain satisfying hyperbolic growth conditions. Assume that is a homeomorphism from the boundary of onto the uni…
math.CV2018★ 4 cited
Controlled diffeomorphic extension of homeomorphisms
Pekka Koskela, Zhuang Wang, Haiqing Xu
Let be an internal chord-arc Jordan domain and be a homeomorphism. We show that has finite dyadic energy if and only if has a diffeomo…