V'aclav Kryvstof

activity

20212024

collaborators

3 papers

math.CA2024

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

Václav Kryštof

In a recent article (2022) we proved with L. Zajíček that if $G \subset R^{n}$ is an unbounded open convex set that does not contain a translation of a convex cone with non-empty in…

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…

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

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

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

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