Displaying similar documents to “A convolution inequality concerning Cantor-Lebesgue measures.”

Vector-valued multipliers: convolution with operator-valued measures

Gaudry G. I., Ricker W. J., Jefferies B. R. F.

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CONTENTS Preface.........................................................................................................5 1. Introduction...............................................................................................6   1.1. Measurability and vector measures.....................................................6   1.2. Convolution and vector measures.....................................................12 ...

On the weak L 1 space and singular measures

Robert Kaufman (1982)

Annales de l'institut Fourier

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We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak L 1 space; symmetric sets of constant ratio occur in an unexpected way.

On summability of measures with thin spectra

Maria Roginskaya, Michaël Wojciechowski (2004)

Annales de l’institut Fourier

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We study different conditions on the set of roots of the Fourier transform of a measure on the Euclidean space, which yield that the measure is absolutely continuous with respect to the Lebesgue measure. We construct a monotone sequence in the real line with this property. We construct a closed subset of ℝ d which contains a lot of lines of some fixed direction, with the property that every measure with spectrum contained in this set is absolutely continuous. We also give examples of sets...

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.