Function spaces on the snowflake
We consider two types of Besov spaces on the closed snowflake, defined by traces and with the help of the homeomorphic map from the interval [0,3]. We compare these spaces and characterize them in terms of Daubechies wavelets.
Funktionalanalytische Fassung des Satzes von Radon-Nikodym. I.
Funzioni e tracce
Funzioni -convesse
We study a class of functions which differ essentially from those which are the sum of a convex function and a regular one and which have interesting properties related to -convergence and to problems with non-convex constraints. In particular some results are given for the associated evolution equations.
Further results on integral representations
Fuzzy equality and convergences for -observables in -quantum spaces
We introduce a fuzzy equality for -observables on an -quantum space which enables us to characterize different kinds of convergences, and to represent them by pointwise functions on an appropriate measurable space.
Game-theoretic algorithms for fair and strongly fair cake division with entitlements
Gaussian measures and covering theorems
Gaussian measures and the density theorem
Gemeinsame Urbilder endlich additiver Inhalte.
General multifractal analysis of local entropies
We address the problem of the multifractal analysis of local entropies for arbitrary invariant measures. We obtain an upper estimate on the multifractal spectrum of local entropies, which is similar to the estimate for local dimensions. We show that in the case of Gibbs measures the above estimate becomes an exact equality. In this case the multifractal spectrum of local entropies is a smooth concave function. We discuss possible singularities in the multifractal spectrum and their relation to phase...
Généralisation d'un lemme de « découpage » de Rokhlin
Generalization Of An Inequality Of G. Pólya Concerning The Eigenfrequences Of Vibrating Bodies
Generalizations of analytic and standard measurable spaces.
Generalizations of Castaing's theorem on selectors
Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures.
Generalized convolutions II
Generalized dimension compression under mappings of exponentially integrable distortion
We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.
Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
We prove the boundedness of the generalized fractional maximal operator and the generalized fractional integral operator on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.