EuDML | Browse

We give a definition of uniform PU-integrability for a sequence of $μ$ -measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $μ$ -integrability.

Convergence with respect to $F_{σ}$ -supported ideals

Jacek Hejduk (1997)

Colloquium Mathematicae

Convolution de mesures portées par une surface convexe

Michel Talagrand (1974/1975)

Séminaire Choquet. Initiation à l'analyse

Coordinate $d$ -dimension prints.

Lee, Hung Hwan, Baek, In Soo (1995)

International Journal of Mathematics and Mathematical Sciences

Coordinatewise decomposition of group-valued Borel functions

Benjamin D. Miller (2007)

Fundamenta Mathematicae

Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.

Correction to A Geometrie Characterization of Non-Atomic Measure Spaces.

R.B. Holmes (1973)

Mathematische Annalen

Correction to “On the non-measurability of a certain mapping”

R. E. Atalla (1973)

Compositio Mathematica

Correction to the paper "Two classes of measures''

Jan K. Pachl (1981)

Colloquium Mathematicae

Corrections : «Les dérivations analytiques»

Michel Zinsmeister (1990)

Séminaire de probabilités de Strasbourg

Correlation dimension for self-similar Cantor sets with overlaps

Károly Simon, Boris Solomyak (1998)

Fundamenta Mathematicae

We prove a classification theorem of the “Glimm-Effros” type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order $\leq_{0}$ which is not Borel linearizable.

Correspondence Between Semi-Measures and Small Systems

Jozef Komorník (1975)

Matematický časopis

Corrigendum of Mean Quadratic Variations and Fourier Asymptotics of Self-similar Measures.

Ka-Sing Lau, Jianrong Wang (1995)

Monatshefte für Mathematik

Corrigendum to (n,2)-sets have full Hausdorff dimension.

Themis Mitsis (2005)

Revista Matemática Iberoamericana

In the paper (n,2)-sets have full Hausdorff dimension, appeared in Rev. Mat. Iberoamericana 20 (2004), 381-393, the author claimed that an (n,2)-set must have full Hausdorff dimension. However, as pointed out by Terence Tao and John Bueti, the proof contains an error.

Countable contraction mappings in metric spaces: invariant sets and measure

María Barrozo, Ursula Molter (2014)

Open Mathematics

We consider a complete metric space (X, d) and a countable number of contraction mappings on X, F = {F i: i ∈ ℕ}. We show the existence of a smallest invariant set (with respect to inclusion) for F. If the maps F i are of the form F i(x) = r i x + b i on X = ℝd, we prove a converse of the classic result on contraction mappings, more precisely, there exists a unique bounded invariant set if and only if r = supi r i is strictly smaller than 1. Further, if ρ = {ρ k}k∈ℕ is a probability sequence, we...

Countable tightness in the spaces of regular probability measures

Grzegorz Plebanek, Damian Sobota (2015)

Fundamenta Mathematicae

We prove that if K is a compact space and the space P(K × K) of regular probability measures on K × K has countable tightness in its weak* topology, then L₁(μ) is separable for every μ ∈ P(K). It has been known that such a result is a consequence of Martin's axiom MA(ω₁). Our theorem has several consequences; in particular, it generalizes a theorem due to Bourgain and Todorčević on measures on Rosenthal compacta.

Coverable standard measures with the chain condition and the Lebesgue decomposition

Yoshihiro Kubokawa (1995)

Czechoslovak Mathematical Journal

Currently displaying 101 – 120 of 126

Previous Page 6 Next