Carathéodory Convergence and Harmonic Measure

Ilia Binder, Cristobal Rojas, Michael Yampolsky

Resultado de la investigación: Article

Resumen

We give several new characterizations of Carathéodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.

Idioma originalEnglish
PublicaciónPotential Analysis
DOI
EstadoAccepted/In press - 1 ene 2018

Huella dactilar

Harmonic Measure
Multiplication
Generalise

ASJC Scopus subject areas

  • Analysis

Citar esto

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title = "Carath{\'e}odory Convergence and Harmonic Measure",
abstract = "We give several new characterizations of Carath{\'e}odory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.",
keywords = "Caratheodory convergence, Harmonic measure, Weak convergence",
author = "Ilia Binder and Cristobal Rojas and Michael Yampolsky",
year = "2018",
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doi = "10.1007/s11118-018-9721-7",
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journal = "Potential Analysis",
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Carathéodory Convergence and Harmonic Measure. / Binder, Ilia; Rojas, Cristobal; Yampolsky, Michael.

En: Potential Analysis, 01.01.2018.

Resultado de la investigación: Article

TY - JOUR

T1 - Carathéodory Convergence and Harmonic Measure

AU - Binder, Ilia

AU - Rojas, Cristobal

AU - Yampolsky, Michael

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We give several new characterizations of Carathéodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.

AB - We give several new characterizations of Carathéodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.

KW - Caratheodory convergence

KW - Harmonic measure

KW - Weak convergence

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U2 - 10.1007/s11118-018-9721-7

DO - 10.1007/s11118-018-9721-7

M3 - Article

JO - Potential Analysis

JF - Potential Analysis

SN - 0926-2601

ER -