On the derivation and covering properties of a differentiation basis
On the differentiation of integrals of functions from Lφ(L)
On the differentiation of integrals of functions from Orlicz classes
On the differentiation theorem in metric groups
On the Lattice Structure of σ-Finite Measures
On the strong maximal function and rearrangements
On the Vitali covering properties of a differentiation basis
On the -finiteness of a variational measure
The -finiteness of a variational measure, generated by a real valued function, is proved whenever it is -finite on all Borel sets that are negligible with respect to a -finite variational measure generated by a continuous function.
Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces
We use the Calderón Maximal Function to prove the Kato-Ponce Product Rule Estimate and the Christ-Weinstein Chain Rule Estimate for the Hajłasz gradient on doubling measure metric spaces.
Propriété de Radon-Nikodym
Proprites de Radon-Nikodym pour les cones positifs de mesures.
Radon-Nikodym theorem in spaces of measures.
Recouvrements, derivation des mesures et dimensions.
Let X be a set with a symmetric kernel d (not necessarily a distance). The space (X,d) is said to have the weak (resp. strong) covering property of degree ≤ m [briefly prf(m) (resp. prF(m))], if, for each family B of closed balls of (X,d) with radii in a decreasing sequence (resp. with bounded radii), there is a subfamily, covering the center of each element of B, and of order ≤ m (resp. splitting into m disjoint families). Since Besicovitch, covering properties are known to be the main tool for...
Sätze des Khintchine Typus für Mengenfunktionen
Sobre el operador maximal de Hardy-Littlewood y las propiedades de crecimiento.
Sobre la derivabilidad del producto de medidas vectoriales.
Sobre los teoremas de Lyapunov y de Radon-Nikodym.
Strong differentiability with respect to product measures
Strong essential cluster sets.
Sulla differenziazione degli integrali di Daniell-Stone