Displaying similar documents to “Asymptotic inversion of convolution operators”

Perfect sets of finite class without the extension property

A. Goncharov (1997)

Studia Mathematica

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We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.

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.