Two problems on doubling measures.

Robert Kaufman; Jang-Mei Wu

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Displaying similar documents to “Two problems on doubling measures.”

Singular measures and the key of G.

Stephen M. Buckley, Paul MacManus (2000)

Publicacions Matemàtiques

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We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.

Hausdorff measures and the Morse-Sard theorem.

Carlos Gustavo T. de A. Moreira (2001)

Publicacions Matemàtiques

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Let F : U ⊂ R → R be a differentiable function and p < m an integer. If k ≥ 1 is an integer, α ∈ [0, 1] and F ∈ C, if we set C(F) = {x ∈ U | rank(Df(x)) ≤ p} then the Hausdorff measure of dimension (p + (n-p)/(k+α)) of F(C(F)) is zero.

Conical measures and properties of a vector measure determined by its range

L. Rodríguez-Piazza, M. Romero-Moreno (1997)

Studia Mathematica

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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...

Vector valued measures of bounded mean oscillation.

Oscar Blasco (1991)

Publicacions Matemàtiques

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The duality between H¹ and BMO, the space of functions of bounded mean oscillation (see [JN]), was first proved by C. Fefferman (see [F], [FS]) and then other proofs of it were obtained. In this paper we shall study such space in little more detail and we shall consider the H¹-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type (see [CW]).

On the intersections of transforms of linear sets

Roy Davies, J. Marstrand, S. Taylor (1960)

Colloquium Mathematicae

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Properties of refinable measures.

Tim N. T. Goodman (2002)

RACSAM

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We give some new properties of refinable measures and survey results on their asymptotic normality. We also give a survey on the asymptotically optimal time-frequency localisation of refinable measures and associated wavelets.

On the equilibrium of signed measures

W. Kleiner (1964)

Colloquium Mathematicae

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On the generation of tight measures

J. Kisyński (1968)

Studia Mathematica

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Sets of multiplicity in locally compact abelian groups

Nicolas Th. Varopoulos (1966)

Annales de l'institut Fourier

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Dans tout groupe abélien localement compact $G$ , il existe une mesure de Radon dont la transformée de Fourier tend vers zéro à l’infini et dont le support engendre dans $G$ un sous-groupe de mesure de Haar nulle.