Continuity properties of solutions of multivalued equations with white noise perturbation.
Continuity Properties of the Extension of a Locally Lipschitz Continuous Map to the Space of Probability Measures.
Continuous additive mappings
Continuous dependence on parameters of certain self-affine measures, and their singularity
In this paper, we first prove that the self-affine sets depend continuously on the expanding matrix and the digit set, and the corresponding self-affine measures with respect to the probability weight behave in much the same way. Moreover, we obtain some sufficient conditions for certain self-affine measures to be singular.
Continuous-, derivative-, and differentiable-restrictions of measurable functions
We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
Continuous extensions of spectral measures
Continuous linear functionals on the space of Borel vector measures
We study properties of the space ℳ of Borel vector measures on a compact metric space X, taking values in a Banach space E. The space ℳ is equipped with the Fortet-Mourier norm and the semivariation norm ||·||(X). The integral introduced by K. Baron and A. Lasota plays the most important role in the paper. Investigating its properties one can prove that in most cases the space is contained in but not equal to the space (ℳ,||·||(X))*. We obtain a representation of the continuous functionals on...
Continuous measures and analytic sets
Continuous selection theorems
Continuous approximation selection theorems are given. Hence, in some special cases continuous versions of Fillipov's selection theorem follow.
Continuous selections for a class of non-convex multivalued maps
Contracting-on-Average Baker Maps
We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.
Contre-exemples associés aux théorèmes de Rosenthal. Quelques propriétés liées à ces résultats
Contribución al estudio de la teoría ergódica de procesos aleatorios con valores en espacios métricos compactos.
Control and separating points of modular functions
Contrôle optimal dans des systèmes gouvernés par des inéquations variationnelles
Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on -dimensional compact intervals
In this paper we use a generalized version of absolute continuity defined by J. Kurzweil, J. Jarník, Equiintegrability and controlled convergence of Perron-type integrable functions, Real Anal. Exch. 17 (1992), 110–139. By applying uniformly this generalized version of absolute continuity to the primitives of the Henstock-Kurzweil-Pettis integrable functions, we obtain controlled convergence theorems for the Henstock-Kurzweil-Pettis integral. First, we present a controlled convergence theorem for...
Convergence almost everywhere of sequences of measurable functions
Convergence and submeasures in Boolean algebras
A Boolean algebra carries a strictly positive exhaustive submeasure if and only if it has a sequential topology that is uniformly Fréchet.
Convergence and uniqueness problems for Dirichlet forms on fractals
è un particolare operatore di minimizzazione per forme di Dirichlet definite su un sottoinsieme finito di un frattale che è, in un certo senso, una sorta di frontiera di . Viene talvolta chiamato mappa di rinormalizzazione ed è stato usato per definire su un analogo del funzionale e un moto Browniano. In questo lavoro si provano alcuni risultati sull'unicità dell'autoforma (rispetto a ), e sulla convergenza dell'iterata di rinormalizzata. Questi risultati sono collegati con l'unicità...
Convergence des moyennes ergodiques pour des sous-suites