Search results for "space-filling curves"

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Regularity and modulus of continuity of space-filling curves

2019

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

regularityPartial differential equationspace-filling curvesFunctional analysisGeneral Mathematics010102 general mathematicsMathematical analysisSpace (mathematics)01 natural sciencesModulus of continuitymodulus0103 physical sciencesjatkuvuusfraktaalitmittateoria010307 mathematical physics0101 mathematicsAnalysisMathematicsJournal d'Analyse Mathématique

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