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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 1993 Volume 34, Number 4, Pages 142–148 (Mi smj1637)

This article is cited in 5 papers

On Hausdorff dimensions of quasiconformal curves

S. P. Ponomarev


Abstract: An upper estimate for the Hausdorff dimension of a quasiconformal curve is obtained and it is proved that the Hausdorff dimensions of various quasiconformal curves fill up the interval $[1,2[$.

UDC: 517.518.17

Received: 22.07.1992


 English version:
Siberian Mathematical Journal, 1993, 34:4, 717–722

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© Steklov Math. Inst. of RAS, 2024