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

1983 ◽  
Vol 43 (1) ◽  
pp. 161-182 ◽  
Author(s):  
Richard Fehlmann
Keyword(s):  
Quasisymmetric Mappings ◽  
Local Dilatation

Turbulent consumption speed via local dilatation rate measurements in a premixed bunsen jet

2013 ◽  
Vol 160 (10) ◽  
pp. 2029-2037 ◽  
Author(s):  
Guido Troiani ◽  
Francesco Battista ◽  
Francesco Picano
Keyword(s):  
Dilatation Rate ◽  
Local Dilatation

Quasisymmetric mappings in b-metric spaces

2021 ◽  
Vol 18 (1) ◽  
pp. 60-70
Author(s):  
Evgeniy Petrov ◽  
Ruslan Salimov
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Quasisymmetric Mapping ◽  
Quasisymmetric Mappings

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.

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