$p$ Harmonic Measure in Simply Connected Domains

John L. Lewis; Kaj Nyström; Pietro Poggi-Corradini

Displaying similar documents to “ $p$ Harmonic Measure in Simply Connected Domains”

A $β$ -normal Tychonoff space which is not normal

Eva Murtinová (2002)

Commentationes Mathematicae Universitatis Carolinae

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$α$ -normality and $β$ -normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff $β$ -normal non-normal space and an example of a Hausdorff $α$ -normal non-regular space.

Dimension in algebraic frames, II: Applications to frames of ideals in $C (X)$

Jorge Martinez, Eric R. Zenk (2005)

Commentationes Mathematicae Universitatis Carolinae

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This paper continues the investigation into Krull-style dimensions in algebraic frames. Let $L$ be an algebraic frame. $dim (L)$ is the supremum of the lengths $k$ of sequences $p_{0} < p_{1} < \dots < p_{k}$ of (proper) prime elements of $L$ . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of $L$ in terms of the dimensions of certain boundary quotients of $L$ . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are...

A generalization of amenability and inner amenability of groups

Ali Ghaffari (2012)

Czechoslovak Mathematical Journal

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Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $Γ$ -amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of $Γ$ -amenability of a locally compact group $G$ defined with respect to a closed subgroup $Γ$ of $G \times G$ . In this paper, among other things, we introduce and study a closed subspace $A_{Γ}^{p} (G)$ of $L^{\infty} (Γ)$ and then characterize the $Γ$ -amenability of $G$ using $A_{Γ}^{p} (G)$ . Various necessary and sufficient conditions are found for a locally compact...

Displaying similar documents to “ p Harmonic Measure in Simply Connected Domains”

A β -normal Tychonoff space which is not normal

Dimension in algebraic frames, II: Applications to frames of ideals in C ( X )

A generalization of amenability and inner amenability of groups

Displaying similar documents to “ $p$ Harmonic Measure in Simply Connected Domains”

A $β$ -normal Tychonoff space which is not normal

Dimension in algebraic frames, II: Applications to frames of ideals in $C (X)$