Approximation by uniform domains in doubling quasiconvex metric spaces
Rajala, T. (2021). Approximation by uniform domains in doubling quasiconvex metric spaces. Complex Analysis and its Synergies, 7(1), Article 4. https://doi.org/10.1007/s40627-021-00062-3
Published in
Complex Analysis and its SynergiesAuthors
Date
2021Discipline
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Copyright
© The Author(s) 2021
We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.
Publisher
SpringerISSN Search the Publication Forum
2524-7581Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/51627273
Metadata
Show full item recordCollections
Related funder(s)
Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
The author acknowledges the support from the Academy of Finland, Grant No. 314789. Open access funding provided by University of Jyväskylä (JYU).License
Related items
Showing items with similar title or keywords.
-
Sobolev homeomorphic extensions onto John domains
Koskela, Pekka; Koski, Aleksis; Onninen, Jani (Elsevier Inc., 2020)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 targets, this Sobolev variant of the ... -
Uniformization with Infinitesimally Metric Measures
Rajala, Kai; Rasimus, Martti; Romney, Matthew (Springer, 2021)We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metric spaces X homeomorphic to R2R2. Given a measure μμ on such a space, we introduce μμ-quasiconformal maps f:X→R2f:X→R2, ... -
A new Cartan-type property and strict quasicoverings when P = 1 in metric spaces
Lahti, Panu (Suomalainen tiedeakatemia, 2018)In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove a new Cartan-type property for the fine topology in the case p = 1. Then we use this property to prove the ... -
Sobolev, BV and perimeter extensions in metric measure spaces
Caputo, Emanuele; Koivu, Jesse; Rajala, Tapio (Suomen matemaattinen yhdistys, 2024)We study extensions of sets and functions in general metric measure spaces. We show that an open set has the strong BV-extension property if and only if it has the strong extension property for sets of finite perimeter. ... -
Differential of metric valued Sobolev maps
Gigli, Nicola; Pasqualetto, Enrico; Soultanis, Elefterios (Elsevier, 2020)We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove ...