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Displaying 41 – 60 of 126

Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations

Michel Talagrand (1982)

Annales de l'institut Fourier

Let $G$ be a locally compact group. Let $L_{t}$ be the left translation in $L^{\infty} (G)$ , given by $L_{t} f (x) = f (t x)$ . We characterize (undre a mild set-theoretical hypothesis) the functions $f \in L^{\infty} (G)$ such that the map $t \to L_{t} f$ from $G$ into $L^{\infty} (G)$ is scalarly measurable (i.e. for $φ \in L^{\infty} (G)^{*}$ , $t \to φ (L_{t} f)$ is measurable). We show that it is the case when $t \to θ (L_{f} t)$ is measurable for each character $θ$ , and if $G$ is compact, if and only if $f$ is Riemann-measurable. We show that $t \to L_{t} f$ is Borel measurable if and only if $f$ is left uniformly continuous.Some of the measure-theoretic tools used there...

Clusters minimizing area plus length of singular curves.

Frank Morgan (1994)

Mathematische Annalen

Coarea integration in metric spaces

Malý, Jan (2003)

Nonlinear Analysis, Function Spaces and Applications

Let $X$ be a metric space with a doubling measure, $Y$ be a boundedly compact metric space and $u : X \to Y$ be a Lebesgue precise mapping whose upper gradient $g$ belongs to the Lorentz space $L_{m, 1}$ , $m \geq 1$ . Let $E \subset X$ be a set of measure zero. Then ${\hat{ℋ}}_{m} (E \cap u^{- 1} (y)) = 0$ for $ℋ_{m}$ -a.e. $y \in Y$ , where $ℋ_{m}$ is the $m$ -dimensional Hausdorff measure and ${\hat{ℋ}}_{m}$ is the $m$ -codimensional Hausdorff measure. This property is closely related to the coarea formula and implies a version of the Eilenberg inequality. The result relies on estimates of Hausdorff content of level sets...

Combinatorics on σ-algebras and problem of Banach

Andrzej Pelc (1984)

Fundamenta Mathematicae

Comment on "On some statistical paradoxes and non-conglomerability" by Bruce Hill.

Isaac Levi (1981)

Trabajos de Estadística e Investigación Operativa

Those who follow Harold Jeffreys in using improper priors together with likelihoods to determine posteriors have thought of the improper measures as probability measures of a deviant sort. This is a mistake. Probability measures are finite measures. Improper distributions generate σ-finite measures. (...)

Compact sets of tight measures

David Pollard (1976)

Studia Mathematica

Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]

Zbigniew Lipecki (2013)

Compactness and other questions in spaces of uniform measures

Pachl, Jan (1976)

Abstracta. 4th Winter School on Abstract Analysis

Compactness and Tightness in a Space of Measures with the Topology of Weak Convergence.

Flemming Topsoe (1974)

Mathematica Scandinavica

Compactness in spaces of uniform measures (Preliminary communication)

Jan K. Pachl (1975)

Commentationes Mathematicae Universitatis Carolinae

Compactness in the sense of the convergence with respect to a small system

Jacek Hejduk, Eliza Wajch (1989)

Mathematica Slovaca

Compacts de fonctions de première classe

Michèle Capon (1975/1976)

Séminaire Choquet. Initiation à l'analyse

Compacts de fonctions mesurables et filtres non mesurables

Michel Talagrand (1980)

Studia Mathematica

Comparability and conditional maximality of measures supported by finite sets of real numbers

Pavel Čihák (1969)

Commentationes Mathematicae Universitatis Carolinae

Comparability of Borel probability measures on euclidean line

Pavel Čihák (1970)

Commentationes Mathematicae Universitatis Carolinae

Comparaison de deux notions de dimension

Jacques Peyrière (1986)

Bulletin de la Société Mathématique de France

Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.

Zoltán M. Balogh, Matthieu Rickly, Francesco Serra Cassano (2003)

Publicacions Matemàtiques

We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given.

Currently displaying 41 – 60 of 126

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Displaying 41 – 60 of 126

Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations

Clusters minimizing area plus length of singular curves.

Coarea integration in metric spaces

Combinatorics on σ-algebras and problem of Banach

Comment on "On some statistical paradoxes and non-conglomerability" by Bruce Hill.

Compact sets of tight measures

Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]

Compactness and other questions in spaces of uniform measures

Compactness and Tightness in a Space of Measures with the Topology of Weak Convergence.

Compactness in spaces of uniform measures (Preliminary communication)

Compactness in the sense of the convergence with respect to a small system

Compacts de fonctions de première classe

Compacts de fonctions mesurables et filtres non mesurables

Comparability and conditional maximality of measures supported by finite sets of real numbers

Comparability of Borel probability measures on euclidean line

Comparaison de deux notions de dimension

Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.

Compensation couples and isoperimetric estimates for vector fields

Complementation in the lattice of Borel structures

Complementation in the lattice of Borel structures

Currently displaying 41 – 60 of 126