Conformal images of Carleson curves

Christopher Bishop

doi:10.1090/bproc/69

journal article Open Access Mar 29, 2022

Conformal images of Carleson curves

Proceedings of the American Mathematical Society, Series B Vol. 9 No. 10 pp. 90-94 · American Mathematical Society (AMS)

View at Publisher Save 10.1090/bproc/69

Abstract

We show that if

γ

\gamma

is a curve in the unit disk, then arclength on

γ

\gamma

is a Carleson measure iff the image of

γ

\gamma

has finite length under every conformal map of the disk onto a bounded domain with a rectifiable boundary.

Topics

No keywords indexed for this article. Browse by subject →

References

2

[1]

Garnett, John B. (1981)

[2]

Garnett, John B. (2008)

Metrics

1

Citations

2

References

Details

Published: Mar 29, 2022
Vol/Issue: 9(10)
Pages: 90-94
License: View

Authors

C

Christopher Bishop

Cite This Article

Christopher Bishop (2022). Conformal images of Carleson curves. Proceedings of the American Mathematical Society, Series B, 9(10), 90-94. https://doi.org/10.1090/bproc/69

Conformal images of Carleson curves

You May Also Like