Quasisymmetric mappings in b-metric spaces
arXiv:2501.03651 · doi:10.1007/s10958-021-05459-3
Abstract
Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-Väisälä inequality. The condition under which the image of a b-metric space under quasisymmetry is also a b-metric space is established. Moreover, the latter question is investigated for additive metric spaces.
12 pages. arXiv admin note: text overlap with arXiv:2501.02834, arXiv:2412.20526, arXiv:2501.00393