Displaying similar documents to “Uniformly Regular sets of Measures on Completely Regular Spaces”

Trivial Jensen measures without regularity

J. F. Feinstein (2001)

Studia Mathematica

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In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point.

On Levin΄s Comparison Theorem

B. S. Lalli, R. P. Jahagirdar (1972)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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Continuity of plurisubharmonic envelopes

Nihat Gokhan Gogus (2005)

Annales Polonici Mathematici

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Let D be a domain in ℂⁿ. The plurisubharmonic envelope of a function φ ∈ C(D̅) is the supremum of all plurisubharmonic functions which are not greater than φ on D. A bounded domain D is called c-regular if the envelope of every function φ ∈ C(D̅) is continuous on D and extends continuously to D̅. The purpose of this paper is to give a complete characterization of c-regular domains in terms of Jensen measures.