2 citations · 7 across the 8 of their papers we have counts for
8 papers
Metric derived numbers and continuous metric differentiability via homeomorphisms
Jakub Duda, Olga Maleva
We define the notions of unilateral metric derivatives and ``metric derived numbers'' in analogy with Dini derivatives (also referred to as ``derived numbers'') and establish their…
Curves in Banach spaces which allow a parametrization
Jakub Duda, Ludek Zajicek
We give a complete characterization of those (where is a Banach space which admits an equivalent Fréchet smooth norm) which allow an equivalent parametri…
Games in Banach spaces
Jakub Duda, Boaz Tsaban
The notion of Aronszajn-null sets generalizes the notion of Lebesgue measure zero on the real line and the Euclidean space to infinite dimensional Banach spaces. We present a game-…
Absolutely continuous functions with values in metric spaces
Jakub Duda
We present a general theory of absolutely continuous paths with values in metric spaces using the notion of metric derivatives. Among other results, we prove analogues of the Banac…
Generalized -variation and Lebesgue equivalence to differentiable functions
Jakub Duda
We find an equivalent condition for a real function to be Lebesgue equivalent to an -times differentiable function (); a simple solution in the case $n=2…
On Gateaux differentiability of pointwise Lipschitz mappings
Jakub Duda
We prove that for every function , where is a separable Banach space and is a Banach space with RNP, there exists a set $A\in\tilde\mcA$ such that is Gateaux…