7 citations · 9 across the 2 of their papers we have counts for
3 papers
math.FA2013
A theorem on measures in dimension 2 and applications to vortex sheets
Tomasz Cieslak, Marta Szumanska
We find conditions under which measures belong to . Next we show that measures generated by Prandtl, Kaden as well as Pullin spirals, objects considered by physicists as incompress…
math.CA2012★ 2 cited
On Whitney-type characterization of approximate differentiability on metric measure spaces
Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte +1
We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approxi…
math.FA2011★ 7 cited
Minimal Hölder regularity implying finiteness of integral Menger curvature
Sławomir Kolasiński, Marta Szumańska
We study two families of integral functionals indexed by a real number . One family is defined for 1-dimensional curves in and the other one is defined for -dimens…