O množinách vzdialeností lineárnych diskontinuí. II.
Old Friends Revisited; the Multifunctional Nature of Some Classical Functions.
On a certain L-ideal of the measure algebra
On a characterization of quasicontinuous multifunctions
On a class of arithmetical sets
On a class of functions with the graph box dimension .
On a class of nonlinear variational inequalities: high concentration of the graph of weak solution via its fractional dimension and Minkowski content.
On a connectedness property of the complements of zeroneighbourhoods in topological vector spaces
On a construction of majorizing measures on subsets of ℝⁿ with special metrics
We consider processes Xₜ with values in and “time” index t in a subset A of the unit cube. A natural condition of boundedness of increments is assumed. We give a full characterization of the domains A for which all such processes are a.e. continuous. We use the notion of Talagrand’s majorizing measure as well as geometrical Paszkiewicz-type characteristics of the set A. A majorizing measure is constructed.
On a decomposition of Banach spaces
By using D. Preiss' approach to a construction from a paper by J. Matoušek and E. Matoušková, and some results of E. Matoušková, we prove that we can decompose a separable Banach space with modulus of convexity of power type p as a union of a ball small set (in a rather strong symmetric sense) and a set which is Aronszajn null. This improves an earlier unpublished result of E. Matoušková. As a corollary, in each separable Banach space with modulus of convexity of power type p, there exists a closed...
On a decomposition of non-negative Radon measures
We establish a decomposition of non-negative Radon measures on which extends that obtained by Strichartz [6] in the setting of -dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.
On a functional equation of Aczél and Chung.
On a functional inequality of Kemperman
On a general coarea inequality and applications.
On a lemma of G. Choquet
On a maximum principle in potential theory
On a measurable set
On a paper by Karel Prikry concerning Ulam's problem on families of measures
On A Paper Of Saha And Ray
On a question of H. Kraljevic.