Hölder Extensions for Non-Standard Fractal Koch Curves

Let K be a non-standard fractal Koch curve with contraction factor α. Assume α is of the form α = 2+1/m for some m ∈ N and that K is embedded in a larger domain Ω. Further suppose that u is any Hölder continuous function on K. Then for each such m ∈ N and iteration n ≥ 0, we construct a bounded line...

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Bibliographic Details
Main Author: Fetbrandt, Joshua Taylor
Format: Others
Published: BYU ScholarsArchive 2014
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/4097
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5096&context=etd