Boundary extension of mappings with integrally bounded moduli on Finsler manifolds
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DOI: 10.1007/s11785-018-0851-0
Abstract: We study the boundary behavior of homeomorphic mappings with integrally controlled moduli on Finsler manifolds. The conditions for continuous/homeomorphic extensions of these mappings and their inverses to the corresponding closures are established. read more here.
Keywords: mappings integrally; boundary extension; finsler manifolds; moduli finsler ... See more keywords
On boundary extension of mappings in metric spaces in the terms of prime ends
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4405
Abstract: We study the boundary behavior of the so-called ring $Q$-mappings obtained as a natural generalization of mappings with bounded distortion. We establish a series of conditions imposed on a function $Q(x)$ for the continuous extension… read more here.
Keywords: mappings metric; boundary extension; metric spaces; prime ends ... See more keywords