Some remarks on the space .
Some results concerning polymeasures.
Some Results on Analytic Spaces and Semi-Analytic Functions with Regard to Gambling Theory.
Some results on projection of planar sets
In this paper we define certain types of projections of planar sets and study some properties of such projections.
Some results on sets of positive measure in a metric space
Some Special Results of Convergent Sequences of Radon Measures.
Some theorems concerning the class of weight functions in the transformation theory for mesure space
Some topological properties of -covering sets
We prove the following theorems: There exists an -covering with the property . Under there exists such that is not an -covering or is not an -covering]. Also we characterize the property of being an -covering.
Some topologies on the set of lattice regular measures.
Some typical properties of dimensions of sets and measures.
Some uniformization results
Some Vitali theorems for Lebesgue Measure.
Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones.
We prove that an Ahlfors-regular set (with dimension one) E ⊂ Rn which verifies a βq-version of P. W. Jones' geometric lemma is included in an Ahlfors-regular curve Γ.This theorem is due to G. David and S. Semmes, we give a more direct proof.
Sous-mesures symétriques sur un ensemble fini
Spaces of generalized smoothness on h-sets and related Dirichlet forms
The paper is devoted to spaces of generalized smoothness on so-called h-sets. First we find quarkonial representations of isotropic spaces of generalized smoothness on ℝⁿ and on an h-set. Then we investigate representations of such spaces via differences, which are very helpful when we want to find an explicit representation of the domain of a Dirichlet form on h-sets. We prove that both representations are equivalent, and also find the domain of some time-changed Dirichlet form on an h-set.
Spaces of Test Functions and Theorems of the Bochner-Schoenberg-Eberlein Type.
Spaces of σ-finite linear measure
Spaces of finite n-dimensional Hausdorff measure are an important generalization of n-dimensional polyhedra. Continua of finite linear measure (also called continua of finite length) were first characterized by Eilenberg in 1938. It is well-known that the property of having finite linear measure is not preserved under finite unions of closed sets. Mauldin proved that if X is a compact metric space which is the union of finitely many closed sets each of which admits a σ-finite linear measure then...
Spaces with Measurable Diagonal
Special measures and repleteness.
Spline coalescence hidden variable fractal interpolation functions.