Harmonic measures supported on curves

C. J. Bishop; L. Carleson; J. B. Garnett; P. W. Jones

doi:10.2140/pjm.1989.138.233

Harmonic measures supported on curves

C. J. Bishop
, L. Carleson
, J. B. Garnett
, P. W. Jones

Mathematics

University of California at Los Angeles
Yale University

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

Let Ω₁ and Ω₂ be two disjoint, simply connected domains in the plane, and let ω₁ and ω₂ be harmonic measures associated to Ω₁ and Ω₂. We present necessary and sufficient conditions for ω₁ and ω₂ to be mutually singular.

Original language	English
Pages (from-to)	233-236
Number of pages	4
Journal	Pacific Journal of Mathematics
Volume	138
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1989.138.233
State	Published - Jun 1989

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title = "Harmonic measures supported on curves",

abstract = "Let Ω1 and Ω2 be two disjoint, simply connected domains in the plane, and let ω1 and ω2 be harmonic measures associated to Ω1 and Ω2. We present necessary and sufficient conditions for ω1 and ω2 to be mutually singular.",

author = "Bishop, \{C. J.\} and L. Carleson and Garnett, \{J. B.\} and Jones, \{P. W.\}",

year = "1989",

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T1 - Harmonic measures supported on curves

AU - Bishop, C. J.

AU - Carleson, L.

AU - Garnett, J. B.

AU - Jones, P. W.

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N2 - Let Ω1 and Ω2 be two disjoint, simply connected domains in the plane, and let ω1 and ω2 be harmonic measures associated to Ω1 and Ω2. We present necessary and sufficient conditions for ω1 and ω2 to be mutually singular.

AB - Let Ω1 and Ω2 be two disjoint, simply connected domains in the plane, and let ω1 and ω2 be harmonic measures associated to Ω1 and Ω2. We present necessary and sufficient conditions for ω1 and ω2 to be mutually singular.

UR - https://www.scopus.com/pages/publications/84973998011

U2 - 10.2140/pjm.1989.138.233

DO - 10.2140/pjm.1989.138.233

M3 - Article

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SN - 0030-8730

VL - 138

SP - 233

EP - 236

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Harmonic measures supported on curves

Abstract

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