A Note on Measurable Sets
A note on mixing properties of invertible extensions.
A note on norm-attaining functionals
A note on Olech's Lemma
A note on perimeter and measure
A Note on Periodic Points for Ergodic Toral Automorphisms.
A note on quasi -invariant measures on semigroups.
A Note on Quasicontinuous Kernels Representing Quasi-Linear Positive Maps.
A note on restricted measurability
A note on Riemann integrability.
A note on stable iterated function systems.
A note on strictly positive Radon measures
A note on strong measure zero sets
A note on Talagrand's concentration inequality.
A note on the approximation by continued fractions under an extra condition.
A note on the asymptotics of perturbed expanding maps.
A note on the characterization of standard Borel spaces.
A note on the construction of measures taking their values in a Banach space with basis.
If E is a Banach space with a basis {en}, n belonging to N, a vector measure m: a --> E determines a sequence {mn}, n belonging to N, of scalar measures on a named its components. We obtain necessary and sufficient conditions to ensure that when given a sequence of scalar measures it is possible to construct a vector valued measure whose components were those given. Furthermore we study some relations between the variation of the measure m and the variation of its components.
A note on the construction of nonsingular Gibbs measures
We give a sufficient condition for the construction of Markov fibred systems using countable Markov partitions with locally bounded distortion.
A note on the Ehrhard inequality
We prove that for λ ∈ [0,1] and A, B two Borel sets in with A convex, , where is the canonical gaussian measure in and is the inverse of the gaussian distribution function.