An Extended Notion of Refinement-Unboundedness.
An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
An Extension of the Daniell Integration Scheme
An extension of the Steinhaus-Weil theorem
An extension theorem for modular measures on effect algebras
We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.
An semigroup of zero measure which contains a translate of every countable set
An ideal theoretic characterization of finite sets, finite algebras, and -algebras of countably generated type
An improved bound on the Minkowski dimension of Besicovitch sets in .
An incompatibility theorem
An inequality for correlated measurable functions.
An inequality for the Hardy-Littlewood maximal operator with respect to a product of differentiation bases
An inquiry-based method for Choquet integral-based aggregation of interface usability parameters
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...
An integral related to the Cauchy transform on the Sierpiński gasket.
An intersection property of sets with positive measure
An isoperimetric inequality in R3
An isoperimetric inequality on the ℓp balls
The normalised volume measure on the ℓnp unit ball (1≤p≤2) satisfies the following isoperimetric inequality: the boundary measure of a set of measure a is at least cn1/pãlog1−1/p(1/ã), where ã=min(a, 1−a).
An L...-Estimate for the gradient of extremals.
An Open Mapping Theorem for Measures.
An uncountable partition contained in the atomless σ-field
This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.
Analyse des correspondances et codage par une probabilité de transition