Research output: Contribution to journal › Article › peer-review
A construction of "nonsymmetric" plane Peano curves is described whose coordinate functions satisfy the Lipschitz conditions of orders a and 1 - α for some α. It is proved that these curves are metric isomorphisms between the interval [0,1] and the square [0,1]2. This fact is used to show that the graphs of their coordinate functions have the maximum possible Hausdorff dimension for a given smoothness.
Original language | English |
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Pages (from-to) | 115-125 |
Journal | St. Petersburg Mathematical Journal |
Volume | 28 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2017 |
ID: 48414233