The centralizer of Morse shifts
The centralizer of Morse shifts induced by arbitrary blocks
The chain rule for differentiable measures
The Choquet integral as Lebesgue integral and related inequalities
The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, Hölder and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee the validity of the discussed inequalities are given. Moreover, the comonotonicity of the considered functions...
The Choquet integral representation in the affine vector-valued case.
The classification problem in Teoplitz -extensions
The coarsest topology for -approximately continuous functions
The complexity of the set of squares in the homeomorphism group of the circle
The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.
The consistency of some theorems concerning Lebesgue measure (Preliminary communication)
The construction of a function given by moments. (La construction de quelque fonction par des moments donnés.)
The continuity of subtraction and the Hausdorff property in spaces of Borel measures.
The Convergence in L... of Singular Integrals in Harmonic Analysis and Ergodic Theory.
The converse of the Fatou theorem for smooth measures.
The Convex Hull of a Typical Compact Set.
The covering property for σ-ideals of compact, sets
The covering property for σ-ideals of compact sets is an abstract version of the classical perfect set theorem for analytic sets. We will study its consequences using as a paradigm the σ-ideal of countable closed subsets of .
The Denjoy extension of the Bochner, Pettis, and Dunford integrals
The Denjoy extension of the Riemann and McShane integrals
In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval into a Banach space It is shown that a Denjoy-Bochner integrable function on is Denjoy-Riemann integrable on , that a Denjoy-Riemann integrable function on is Denjoy-McShane integrable on and that a Denjoy-McShane integrable function on is Denjoy-Pettis integrable on In addition, it is shown that for spaces that do not contain a copy of , a measurable Denjoy-McShane integrable...
The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables
We construct a differentiable function () such that the set is a nonempty set of Hausdorff dimension . This answers a question posed by Z. Buczolich.
The density at infinity of a discrete group of hyperbolic motions
The dimension of analytic sets