Displaying similar documents to “Generators of perfect σ-algebras of Z d -actions”

An exponential estimate for convolution powers

Roger Jones (1999)

Studia Mathematica

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We establish an exponential estimate for the relationship between the ergodic maximal function and the maximal operator associated with convolution powers of a probability measure.

A class of Fourier multipliers on H¹(ℝ²)

Michał Wojciechowski (2000)

Studia Mathematica

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An integral criterion for being an H 1 ( 2 ) Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.

On a semigroup of measures with irregular densities

Przemysław Gadziński (2000)

Colloquium Mathematicae

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We study the densities of the semigroup generated by the operator - X 2 + | Y | on the 3-dimensional Heisenberg group. We show that the 7th derivatives of the densities have a jump discontinuity. Outside the plane x=0 the densities are C . We give explicit spectral decomposition of images of - X 2 + | Y | in representations.