Regularity and modulus of continuity of space-filling curves
Abstract
We study critical regularity assumptions on space-filling curves that possess certain modulus of continuity. The bounds we obtain are essentially sharp, as demonstrated by an example.
Main Authors
Format
Articles
Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
Magnes Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202001201325Use this for linking
Review status
Peer reviewed
ISSN
0021-7670
DOI
https://doi.org/10.1007/s11854-018-0066-3
Language
English
Published in
Journal d'Analyse Mathematique
Citation
- Kauranen, A., Koskela, P., & Zapadinskaya, A. (2019). Regularity and modulus of continuity of space-filling curves. Journal d'Analyse Mathematique, 137(1), 73-100. https://doi.org/10.1007/s11854-018-0066-3
License
Copyright© The Hebrew University of Jerusalem 2019