CONFORMAL IMAGES OF CARLESON CURVES

Christopher J. Bishop

doi:10.1090/bproc/69

CONFORMAL IMAGES OF CARLESON CURVES

Christopher J. Bishop

Mathematics

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

1 Scopus citations

Abstract

We show that if γ is a curve in the unit disk, then arclength on γ is a Carleson measure iff the image of γ has finite length under every conformal map of the disk onto a bounded domain with a rectifiable boundary.

Original language	English
Pages (from-to)	90-94
Number of pages	5
Journal	Proceedings of the American Mathematical Society, Series B
Volume	9
DOIs	https://doi.org/10.1090/bproc/69
State	Published - 2022

Keywords

Carleson measures
conformal maps
Hardy spaces
rectifiable

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title = "CONFORMAL IMAGES OF CARLESON CURVES",

abstract = "We show that if γ is a curve in the unit disk, then arclength on γ is a Carleson measure iff the image of γ has finite length under every conformal map of the disk onto a bounded domain with a rectifiable boundary.",

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KW - conformal maps

KW - Hardy spaces

KW - rectifiable

UR - https://www.scopus.com/pages/publications/85132145677

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DO - 10.1090/bproc/69

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AN - SCOPUS:85132145677

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JO - Proceedings of the American Mathematical Society, Series B

JF - Proceedings of the American Mathematical Society, Series B

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CONFORMAL IMAGES OF CARLESON CURVES

Abstract

Keywords

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