6533b838fe1ef96bd12a5135
RESEARCH PRODUCT
Regularity and modulus of continuity of space-filling curves
Aapo KauranenAleksandra ZapadinskayaPekka Koskelasubject
regularityPartial differential equationspace-filling curvesFunctional analysisGeneral Mathematics010102 general mathematicsMathematical analysisSpace (mathematics)01 natural sciencesModulus of continuitymodulus0103 physical sciencesjatkuvuusfraktaalitmittateoria010307 mathematical physics0101 mathematicsAnalysisMathematicsdescription
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. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-03-01 | Journal d'Analyse Mathématique |