Characterization of the collapsing meromorphic products.
Characterization of Trudinger's inequality.
Characterization of -limit sets of continuous maps of the circle
In this paper we extend results of Blokh, Bruckner, Humke and Sm’ıtal [Trans. Amer. Math. Soc. 348 (1996), 1357–1372] about characterization of -limit sets from the class of continuous maps of the interval to the class of continuous maps of the circle. Among others we give geometric characterization of -limit sets and then we prove that the family of -limit sets is closed with respect to the Hausdorff metric.
Characterization properties for starlike and convex functions involving a class of fractional integral operators
Characterization properties for starlikeness and convexity of some subclasses of analytic functions involving a class of fractional derivative operators.
Characterizations of Connected Real Functions.
Characterizations of convex vector functions and optimization.
Characterizations of Kurzweil-Henstock-Pettis integrable functions
We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.
Characterizations of real functions by continua
Characterizations of sum form information measures on open domains.
Characterizations of the functions with bounded variation.
Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.
Characterizations of -stratifiable spaces
Characterizing dominates on a family of triangular norms.
Characterizing Optimality in Nonconvex Optimizationi
Charakterisierungen von nirgends differenzierbaren Weierstraß-Funktionen durch Replikativität.
Chebyshev inequalities and self-dual cones.
Choosing roots of polynomials with symmetries smoothly.
Classes of Weighted Symmetric Functions
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...