Harmonic measure of some Cantor type sets.

Batakis, Athanassios

Displaying similar documents to “Harmonic measure of some Cantor type sets.”

On the Hausdorff dimension of harmonic measure in higher dimension.

J. Bourgain (1987)

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Invariant sets for $𝒜$ -harmonic measure.

Kurki, Jukka (1995)

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Böcher's theorem in a space of dimension one

Premalatha, T. Sowmya (2000)

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Harmonic majorization of $| x_{1} |$ in subsets of $ℝ^{n}$ , $n \geq 2$ .

Eiderman, Vladimir, Essén, Matts (1996)

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A remark on gradients of harmonic functions in dimension ≥3

J. Bourgain, T. Wolff (1990)

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Rigidity of harmonic measure

I. Popovici, Alexander Volberg (1996)

Fundamenta Mathematicae

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Let J be the Julia set of a conformal dynamics f. Provided that f is polynomial-like we prove that the harmonic measure on J is mutually absolutely continuous with the measure of maximal entropy if and only if f is conformally equivalent to a polynomial. This is no longer true for generalized polynomial-like maps. But for such dynamics the coincidence of classes of these two measures turns out to be equivalent to the existence of a conformal change of variable which reduces the dynamical...

An explicite description of harmonic measure.

Ursula Hamenstädt (1990)

Mathematische Zeitschrift

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On the dimension of an irrigable measure

Giuseppe Devillanova, Sergio Solimini (2007)

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On a Problem Concerning Harmonic Measure.

James A. Jenkins (1973/74)

Mathematische Zeitschrift

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The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces

Marcello Lucia, Michael J. Puls (2015)

Analysis and Geometry in Metric Spaces

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Let p be a real number greater than one and let X be a locally compact, noncompact metric measure space that satisfies certain conditions. The p-Royden and p-harmonic boundaries of X are constructed by using the p-Royden algebra of functions on X and a Dirichlet type problem is solved for the p-Royden boundary. We also characterize the metric measure spaces whose p-harmonic boundary is empty.