On the local dilatation of quasisymmetric mappings and a theorem of Kurt Friedrichs

1983 ◽  
Vol 43 (1) ◽  
pp. 161-182 ◽  
Author(s):  
Richard Fehlmann
2013 ◽  
Vol 160 (10) ◽  
pp. 2029-2037 ◽  
Author(s):  
Guido Troiani ◽  
Francesco Battista ◽  
Francesco Picano

2021 ◽  
Vol 13 (3) ◽  
pp. 231-238
Author(s):  
Evgeniy Petrov ◽  
Ruslan Salimov

1977 ◽  
Vol 40 ◽  
pp. 127 ◽  
Author(s):  
Pekka Tukia

2016 ◽  
Vol 32 (2) ◽  
pp. 589-648 ◽  
Author(s):  
Jonas Azzam

2021 ◽  
Vol 18 (1) ◽  
pp. 60-70
Author(s):  
Evgeniy Petrov ◽  
Ruslan Salimov

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-Vaisala inequality. The condition under which the image of a b-metric space under a quasisymmetric mapping is also a b-metric space is established. Moreover, the latter question is investigated for additive metric spaces.


2015 ◽  
Vol 31 (9) ◽  
pp. 1424-1434 ◽  
Author(s):  
Yanzhe Li

Author(s):  
Evgeniy A. Petrov ◽  
Ruslan R. Salimov

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