O třináctém Hilbertově problému
On a functional inequality of Kemperman
On functions with vanishing local derivative
On superpositionally measurable multifunctions
On the functional equation
On the lower semicontinuous quasiconvex envelope for unbounded integrands (I)
Motivated by the study of multidimensional control problems of Dieudonné-Rashevsky type, we raise the question how to understand to notion of quasiconvexity for a continuous function f with a convex body K instead of the whole space as the range of definition. In the present paper, we trace the consequences of an infinite extension of f outside K, and thus study quasiconvex functions which are allowed to take the value +∞. As an appropriate envelope, we introduce and investigate the lower semicontinuous...
On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in