11 citations · 96 across the 32 of their papers we have counts for
6 papers · 1 filter
Sobolev homeomorphic extensions onto John domains
Pekka Koskela, Aleksis Koski, Jani Onninen
Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general…
Ahlfors reflection theorem for -morphisms
Pekka Koskela, Pekka Pankka, Yi Ru-Ya Zhang
We prove an Ahlfors refection theorem for -reflections over Jordan curves bounding subhyperbolic domains in .
Weighted Hardy Spaces of Quasiconformal Mappings
Sita Benedict, Pekka Koskela, Xining Li
We establish a weighted version of the -theory of quasiconformal mappings.
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…
Sharpness of uniform continuity of quasiconformal mappings onto s-John domains
Chang-Yu Guo, Pekka Koskela
We construct examples to show the sharpness of uniform continuity of quasiconformal mappings onto -John domains. Our examples also give a negative answer to a prediction in [7].
Intrinsic Hardy-Orlicz spaces of conformal mappings
Pekka Koskela, Sita Benedict
We define a new type of Hardy-Orlicz spaces of conformal mappings on the unit disk where in place of the value |f(x)| we consider the intrinsic path distance between f(x) and f(0)…