Ludvek Zaj'ivcek

activity

20192023

collaborators

3 papers

math.FA2023

On Whitney-type extension theorems on Banach spaces for $C^{1, ω}$ , $C^{1, +}$ , $C_{loc}^{1, +}$ , and $C_{B}^{1, +}$ -smooth functions

Michal Johanis, Václav Kryštof, Luděk Zajíček

Our paper is a complement to a recent article by D. Azagra and C. Mudarra (2021). We show how older results on semiconvex functions with modulus $ω$ easily imply extension theorems…

math.CA2021

Functions on a convex set which are both $ω$ -semiconvex and $ω$ -semiconcave

Václav Kryštof, Luděk Zajíček

Let $G \subset R^{n}$ be an open convex set which is either bounded or contains a translation of a convex cone with nonempty interior. It is known that then, for every mo…

math.CA2019

Remarks on WDC sets

Dušan Pokorný, Luděk Zajíček

We study WDC sets, which form a substantial generalization of sets with positive reach and still admit the definition of curvature measures. Main results concern WDC sets $A\subset…

On Whitney-type extension theorems on Banach spaces for C1,ω, C1,+, Cloc1,+​, and CB1,+​-smooth functions

Functions on a convex set which are both ω-semiconvex and ω-semiconcave

Remarks on WDC sets

On Whitney-type extension theorems on Banach spaces for $C^{1, ω}$ , $C^{1, +}$ , $C_{loc}^{1, +}$ , and $C_{B}^{1, +}$ -smooth functions

Functions on a convex set which are both $ω$ -semiconvex and $ω$ -semiconcave