Free boundary regularity for harmonic measures and Poisson kernels.
Free uniform measures
Free uniform measures on subinversion-closed spaces
From almost sure local regularity to almost sure Hausdorff dimension for gaussian fields
Fine regularity of stochastic processes is usually measured in a local way by local Hölder exponents and in a global way by fractal dimensions. In the case of multiparameter Gaussian random fields, Adler proved that these two concepts are connected under the assumption of increment stationarity property. The aim of this paper is to consider the case of Gaussian fields without any stationarity condition. More precisely, we prove that almost surely the Hausdorff dimensions of the range and the graph...
From finite to countable additivity
From weak to strong types of -convergence by the Bocce criterion
Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space to be norm convergent (resp. relatively norm compact), thus extending the known results for . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in . It is shown that tightness is a necessary and sufficient condition to pass from limited to strong convergence....
Frontière du fractal de Rauzy et système de numération complexe
Fubini theorems for bornological measures
Function spaces of generalised smoothness [Book]
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.