On quasi-continuous bijections.
On quasi-continuous functions having Darboux property.
On quasi-continuous iteration semigroups and groups of real functions
On quasi-uniform convergence of a sequence of s.q.c. functions
On Regularly Varying Functions With Applications To Functions Theory.
On relations among metric derived numbers
On representations of Baire functions in a given family as sums of Baire Darboux functions with a common summand
On representations of some Perron integrable functions
On results of Jan Mařík in the theory of derivatives
Results of Jan Marik on the theory of derivatives of real functions are described.
On Riemann-Liouville and Caputo derivatives.
On Riemann-type definition for the wide Denjoy integral
On rings of Darboux functions
On rules of derivation with complex order for analytic and branched functions
On sectorial qualitative cluster sets and directional qualitative cluster sets
On sequences of real functions with the Darboux property
On sets of points of semicontinuity in fine topologies generated by an ideal
On similarity between topologies
Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.
On single-valuedness of set-valued maps satisfying linear inclusions.
On Sobolev spaces of fractional order and ε-families of operators on spaces of homogeneous type
We introduce Sobolev spaces for 1 < p < ∞ and small positive α on spaces of homogeneous type as the classes of functions f in with fractional derivative of order α, , as introduced in [2], in . We show that for small α, coincides with the continuous version of the Triebel-Lizorkin space as defined by Y. S. Han and E. T. Sawyer in [4]. To prove this result we give a more general definition of ε-families of operators on spaces of homogeneous type, in which the identity operator is...
On some alternative functional equations. (Short Communication).